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Guided Notes – Perimeter and Area
Date_________
Perimeter – ________________________________________________________
Area – the number of __________________________________ a figure encloses
If the problem asks about:
A fence
A pool cover
Painting a wall
Traveling around
Rectangles:
1) What is the perimeter and area of this
rectangle?
2) What is the perimeter & area of this rectangle?
P = _______
P = ___________
A = _______
A = __________
3) The area is 45 square feet. What is the width?
4) The perimeter is 60 feet. What is the length?
Equation ______________
Answer__________
Equation ______________
Answer__________
Squares:
1)
Parallelograms:
1) A parallelogram has a 9 cm base and a
height of 10 cm. Draw the parallelogram
and find its area.
2)
2) The parallelogram below has an area
of 40 square units. Find the perimeter of
the parallelogram.
2) The area of a triangle is 24 inches. If
the triangle has a height of 6 inches,
find the base. Then find the perimeter.
Triangles:
1)
Formula ___________
Area ________
Perimeter ________
Formula __________________
Base __________
Perimeter ___________
Trapezoids:
1)
2)
Formula _____________________
Formula _____________________
Answer ____________________
Answer ____________________
4)
3)
Formula _____________________
Formula _____________________
Area ____________________
Area ____________________
Perimeter _________________
Perimeter _____________________
Guided Notes – Perimeter and Area
Date_________
Perimeter – ________________________________________________________
Area – the number of __________________________________ a figure encloses
If the problem asks about:
A fence
A pool cover
Painting a wall
Traveling around
Rectangles:
1) What is the perimeter and area of this
rectangle?
2) What is the perimeter & area of this rectangle?
P = _______
P = ___________
A = _______
A = __________
Using Equations with Perimeter and Area
1) The area is 45 square feet. What is the width?
2) The perimeter is 60 feet. What is the length?
Equation ______________
Equation ______________
Answer__________
3)
Answer__________
x + 12
The area of the rectangle is 58 square units. Solve for x.
Equation ______________________________
Simplified _______________________________
4
Answer ____________
Find the perimeter ______________________________
3x + 12
4) The area of the rectangle is 233.1 square units. Solve for x.
Equation ______________________________
Simplified _____________________________
Answer ____________
Find the perimeter _______________________
10.5
Squares:
1) The square shown below has a
perimeter of 84 cm. Find a. Then find
the length of each side.
2) The square shown below has a perimeter of
44 cm. Find a. Then find the length of each side.
a+3
2a + 9
Equation ______________
Equation ______________
Simplified_______________
Simplified_______________
Answer__________
Answer__________
Length __________
Length __________
3) Joanna is tiling a floor. The floor
measures 9 feet by 4 feet. Joanna is
using square tiles with sides that
measure 6 inches. How many tiles
will it take to cover the entire floor?
4)
Triangles:
1)
Formula _______________
2)
Formula _____________
Area ___________
Area ___________
Perimeter ___________
Perimeter ___________
3) The area of a triangle is 24 square
inches. If the triangle has a height of 6
inches, find the base.
4) The area of a triangle is 16 square
inches. If the triangle has a height of 8
inches, find the base.
Formula __________________
Formula __________________
Base __________
Base __________
5) The area of the triangle is 114 square units. Solve for x.
Then find the perimeter.
Equation ______________________________
Simplified _____________________________
Answer ____________
Perimeter _______________
Guided Notes – Area of Composite Shapes
Date_________
Composite Shapes: Two or more shapes put together
1)
2)
To find the area:
1. ___________________
2. Find the area of each part
3. ____________________
3)
4)
5)
To find the area of the “shaded region”
1. Find the area of _________________________
2. Find the area of __________________________
3. ____________________
1)
Group 1
Group 2
1. Find the area and perimeter
1. Find the area and the perimeter
A ______
P ______
A ______
P ______
2. Find the area and perimeter
A ______
P ______
2. Write an expression for the area and perimeter
A __________
3. Find the area and perimeter
P __________
A ______
P ______
4. Find the area
5. Find the area of the
shaded region.
4.
3. Find the area of the shaded region.
Guided Notes – Area and Circumference of Circles
Date_________
Circles:
Terms to Know –
Radius ________________________
1) The radius of a circular table is
13 inches. What is the diameter of
the table?
Diameter ______________________
2) The diameter of a circle is 25.
What is the radius?
Area ____________________________________ Formula _______________
Circumference ____________________________ Formula ______________
1)
A = __________
2)
A = __________
C = __________
C = __________
3)
A = __________
C = __________
4)
A = __________
C = __________
Word Problems:
1)
2) Astronauts train for space flight in a
centrifuge, which consists of a rotating arm
with a cab at the outer end of the arm. The
arm, which has a length of 58 feet, is
revolved about the center of the centrifuge.
An astronaut sits in the cab, which is then
rotated 50 times per minute. To the nearest
hundred feet, how far does the astronaut
travel in one minute?
3)
14 in
18 in
10 in
Which pizza is the better buy per square inch?
*Hint: Find the area of each, then find price per square inch.
Large: A = _________
Medium: A = __________
Small: A = __________
$/in² = ________
$/in² = ________
$/in² = ________
4)
d = 8 in
d = 10 in
$10.00
$14.25
At the village, Ava is deciding whether to buy a full 10 inch (diameter) apple pie for $14.25 or
a half a pumpkin pie for $10.00. Which one is the better buy per square inch?
Apple: A = _________
5)
$/in² = ________ Pumpkin: A = __________
$/in² = ________
Guided Notes – Area and Circumference of Circles
Date_________
Circles:
Terms to Know –
Radius ________________________
1) The radius of a circular table is
13 inches. What is the diameter of
the table?
Diameter ______________________
2) The diameter of a circle is 25.
What is the radius?
Area ____________________________________ Formula _______________
Circumference ____________________________ Formula ______________
1)
A = __________
2)
A = __________
C = __________
C = __________
4)
3)
A = __________
A = __________
C = __________
C = __________
Semicircles:
Find the area or circumference and ________________________________________
5)
6)
A = __________
C = __________
A = __________
C = __________
Word Problems:
1)
14 in
18 in
10 in
Which pizza is the better buy per square inch?
*Hint: Find the area of each, then find price per square inch.
Large: A = _________
$/in² = ________
Medium: A = __________
Small: A = __________
$/in² = ________
$/in² = ________
2)
d = 8 in
d = 10 in
$10.00
$14.25
At the village, Ava is deciding whether to buy a full 10 inch (diameter) apple pie for $14.25 or
a half a pumpkin pie for $10.00. Which one is the better buy per square inch?
Apple: A = _________
$/in² = ________ Pumpkin: A = __________
$/in² = ________
Guided Notes - Composite Shapes with Circles or Semicircles
1)
2)
Top Piece ______
Date_________
Top Piece ______
Middle Piece _______
Bottom Piece _______
Bottom Piece _______
Total Area _______
Total Area _______
4)
3)
Top Piece ______
Top Piece ______
Bottom Piece _______
Bottom Piece _______
Total Area _______
Total Area _______
5)
6)
Left Piece ______
Top Piece ______
Right Piece _______
Bottom Piece _______
Total Area _______
Total Area _______
7)
8)
Find the area of the shaded region.
Outer _________
Outer _________
Inner __________
Inner __________
Shaded Area _______
Shaded Area _______
Word Problems
1)
2)
3)
Level 1
Find the perimeter and area of the shapes.
1.
2.
3.
3
a+4
Level 2
1.
2. Find the area of the composite
shape below.
Level 3
Find the approximate price per square inch to find the better
deal
Pizza Hut
Donato’s
d = 10 in, cost = $15
cost = $17
Jet’s
d = 15 in, cost = $25
Level 4
Find the area of the shapes.
1.
Level 5
2.
2.
Find the area of the shape below
1.
Level 6
1. Find the area of the shaded region if
the diameter of the smaller circles is 2.
2. Find the area of the composite
shape below.
.
Level 7
Find the area of the shapes
1.
2.
Level 8
1)
Area = __________
Level 9
1)
She is going to use square tiles that are
6 inches on each side. How many tiles
will she need?
Stove
2 ft
4 ft
10 feet
2)
Mrs. Graf wants to tile her kitchen seen
at right. She will tile the entire floor
except for where her sink, stove and
island will be. What is the area of the
floor she will have to tile?
2 ft
3.5 ft
4 ft Sink
5 ft
Island
12 feet
Level 10
Find the area of the shaded portion in the figures below.
1.
2.
8 cm
10 cm
Level 11
Find the area of the shaded portion in the figures below.
1.
2.
Level 12
Find the area of the shaded portion in the figures below.
1.
2.
Level 13
1.
Find the area of the shaded region.
A = _______________
2.
Find the circumference of the circle.
C = ________________
Level 14
1.
Find the area of the shaded region.
A = _______________
2.
Find the circumference of the circle
C = ________________
Level 15
1.
Find the area of the shaded region.
A = _______________
2.
Find the circumference of the semi - circle.
C = ________________
1)
2)
Level 17
Find the area and perimeter of the composite shapes below.
1)
2)
Area = __________
Area = __________
Perimeter = _________
Perimeter = _________
Name____________________
Composite Shape Levels
Level 1
1) Area = __________
Perimeter = _________
Level 7
2) Area = __________
1) Area = __________
Perimeter = _________
Perimeter = _________
3) Area = __________
2) Area = __________
Perimeter = _________
Perimeter = _________
Level 2
1) __________
2) _________
Level 8
1)
__________
2)
__________
Level 3
Donato’s: $______/in²
Level 9
Pizza Hut: $______/in²
Jets: $______/in²
1) __________
Best Buy ______________
2) __________
Level 10
1) __________
Level 4
1.
__________
2.
__________
Level 5
2) __________
Level 11
1) __________
2) __________
1. Area = __________
2. Area = _________
Level 12
1) __________
Level 6
1. Area = __________
2. Area = _________
2) __________
Guided Notes – Using Algebra to Find Missing Dimensions
Together
1.
A rectangle has an area of 120
square inches and a length of 12
inches. Calculate the width and
perimeter.
On Your Own
1.
A rectangle has an area of 94.5
square inches and a length of 7
inches. Calculate the width and
perimeter:
Equation ______________________
Equation ______________________
Width ________________
Width ________________
Perimeter _______________
Perimeter _______________
2. A rectangle has a perimeter of 72
inches and a length of 19 inches.
Calculate the following:
2. A rectangle has a perimeter of 28
square and a length of 9 inches.
Calculate the following:
Equation ______________________
Equation ______________________
Width ________________
Width ________________
Area _______________
3. A triangle has an area of 15.75
square inches and a base of 7
inches. Write an equation to solve
for the height.
Area _______________
3. A triangle has an area of 40 square
inches and a base of 10 inches.
Write an equation to solve for the
height.
Equation ______________________
Equation ______________________
Height _______________
Height _______________
Use 3.14 as pi.
4.
Find the radius and diameter
of the circle if the
circumference is 25.12 cm.
5.
Date_________
What is the area of the circle if its
circumference is 157 meters?
4. Find the radius and diameter
of the circle if the
circumference is 20.41 cm.
5.
What is the area of the circle if its
circumference is 62.8cm?
Together
DO NOT use 3.14 as pi. Give your answers
in terms of pi.
6.
Find the area of the circle if the
circumference is 25𝜋.
7. The circumference of the semicircle is 37.68m.
Find the area of the shaded region. Round to the
nearest tenth.
On Your Own
DO NOT use 3.14 as pi. Give your answers
in terms of pi.
6.
Find the area of the circle if the
circumference is 18𝜋.
7. Find the area of the
shaded region if the
circumference of the circle
is 56.52 cm.
Area, Perimeter and Circumference Quiz Review
Name: _____________________
Level 1
Directions: Find the perimeter and area of the following shapes. (Try to do it
without using your formulas!)
2.
1.
P = __________
3.
P = __________
P = __________
A = __________
A = __________
A = __________
Level 2: Better Buy
Find the approximate price per square inch to find the better deal
Jet’s
d = 15 in, cost = $25
Pizza Hut
cost = $17
Donato’s
d = 10 in, cost = $15
Level 3:
3.
Find the area and circumference/perimeter
of the circles and semicircles
1.
C = __________
A = __________
2.
C = __________
A = __________
Level 4: Work backwards to solve the following problems:
1) A realtor advertises the office space in
a building as 1,400 square feet. The
office space is rectangularly shaped.
What is the length of the side of the
office space if the width is 35 feet?
2) A rectangle has an area of
92 square inches and a
length of 11.5 inches. What
is the width?
3) A rectangle has a
perimeter of 54 square
inches and a length of 13
inches. What is the width?
Level 5: Find the area of the composite shapes
1.
The object is
symmetrical through Z.
X = 13 in, Y = 18 in,
Z = 17 in, H = 9 in
3.
2.
A = __________
A = __________
A = __________
Level 6: Find the area and perimeter of the composite shapes
1.
3.
2.
P = __________
P = __________
P = __________
A = __________
A = __________
A = __________
Level 7: Find the area of the shaded region in the figures below.
1.
A = __________
3.
2.
A = __________
A = __________
Level 8: Work backwards to solve the following problems:
1) A sign is in the
shape of a triangle. It
has a base of 16
inches and an area of
96 square inches.
What is the height of
the sign?
2) The area of a circular
clock is 200.96 square inches.
Find the radius _________
Find the circumference
_________
3) The circumference of a
circular pool is 43.96 feet.
Find the radius _________
Find the area_________
Guided Notes – Cross Sections
Date ___________
Cross Section: A plane that intersects or ___________________ a _____________,forming
a two-dimensional figure
Your Goal: Be able to identify or draw the _____________________ of the cross section.
*You can slice many different ways:
A) Vertically (__________)
B) Horizontally (__________)
Example 1:
A square pyramid cut
_______________ makes
a cross section that is a
______________.
C) Diagonally (__________)
Example 2:
A plane cuts the
triangular pyramid
______________.
What is the shape
of the cross
section?
Example 3 :
A plane cuts the
cylinder vertically.
What is the shape of
the cross section?
Example 4:
A plane cuts a right
rectangular prism
(_______) diagonally.
What is the shape of
the cross section?
*The vertical and horizontal slices can be made:
D) Through the ______________
Example 1:
A square pyramid cut
vertically through the
apex makes a cross
section that is a
_______________
AND E) Not through the _______________________
Example 2:
A square pyramid cut
vertically (but not
through the apex) makes
a cross section that is a
_______________
Test Example
*Hint: Could be made through the apex and NOT through the APEX:
F)
Cross sections can be parallel or _______________________ to the _____________
of the solid.
PARALLEL _______________________________________________________
PERPENDICULAR _________________________________________________
1) A triangular right prism is cut
perpendicular to the base. What is
the shape of the cross section?
Parallel to the base?
2) What cross section is formed when a plane
intersects a square pyramid so that it is
perpendicular to the base?
Parallel to base?
G) Cross sections can be through certain ________________________________________.
1) What shape is made when the cross
section below is cut through points
ABCD?
2) What shape is made when the cross
section below is cut through points EFG?
Guided Notes – Surface Area and Volume
Rectangular Prisms
Date ____________
Surface Area: The area of each ____________________________ of a solid.
Volume: The _____________________ units a solid takes up.
Front _______
1)
Back________
7
Side ________
Side ________
4
20
Bottom_______
Volume ______
2)
Top ________
Surface Area = ________
Front _______
Back________
Side ________
Side ________
Top ________
Bottom_______
Surface Area = ________
3)
Volume ______
Front _______
Back________
Side ________
Side ________
Top ________
Bottom_______
Surface Area = ________
Volume ______
4)
Front _______
Back________
Side ________
Side ________
Top ________
Bottom_______
Surface Area = ________
Volume ______
5)
Front _______
Back________
Side ________
Side ________
Top ________
Bottom_______
Surface Area = ________
Volume ______
Word Problems:
1) Kevin wants to paint the walls and ceiling of room. His room is 11 feet long, 12 feet wide
and 8 feet high. How many square feet will he cover?
Draw Picture:
One gallon of paint will cover 200 ft² of surface area. How many gallons of paint does Kevin
need to buy to paint his room?
2) Alisha wants to paint the walls of her bedroom. Her room is 18 feet long, 14 feet wide,
and 10 feet high. The paint she decides to buy will cover 100 square feet. How many gallons
will she need?
Guided Notes – Surface Area
and Volume Word Problems
Date ______________
Review
2)
1)
Volume ____________
Volume ____________
Surface Area _____________
Surface Area _____________
Word Problems:
Word problems will not tell you to find the surface area and volume.
*How you know: the question is asking for _____________________ if they are talking
about the outside of the object.
It is asking for __________________________ if the question discusses filling an object.
Examples:
1) A company is deciding on the box to use
for their cereal. Box A measures 8 inches by
2.25 inches by 10.5 inches.
How much material is needed to make box
A?
2) Sara wants to paint the walls of
her bedroom. Her bedroom is 12 ft
long, 8 ft wide and 10 feet high.
What is the area of the space she
wants to paint?
How many cubic inches of cereal can fit in
Box A?
If the paint costs $6.50 a gallon and
each gallon covers 128 ft² of wall,
how much will it cost to paint the
room?
Draw picture:
Draw picture:
Date ____________
Guided Notes – Surface and Volume
of Right Prisms
Right Prism: A prism which has 2 _____________ aligned one directly above the other and
the rest of its faces are _____________________.
Volume Formula = ______________, where B is the _________ of the base
*Remember to determine the height as how tall the object is if it stands on its _________
1) Find the volume of the
pentagonal prism if the area of
the base is 100 in².
2) Find the volume of the
trapezoidal prism if the area of
the base is 12 in².
3) Find the volume of the
______________________
prism if the area of the base is
192 in².
45 in
Determining the height
4) Find the volume of the
triangular prism if the area of
the base is 24 in².
5) Find the volume of the
trapezoidal prism if the area of
the base is 165 in².
h = __________
h = __________
V = __________
V = __________
1)
Pictures of Sides:
V = _________
SA = _______
2)
V = _________
SA = _______
3)
V = _________
SA = _______
4)
V = _________
SA = _______
5)
V = _________
SA = _______
6)
V = _________
Test Examples:
1)
2)
Name_______________________
Surface Area and Volume Levels
Level 1:
Find the surface area and volume of the
following shapes.
1.)
2.)
3.)
5 cm
V = ________
V = ________
V = ________
SA = _________
SA = _________
SA = _________
Level 2:
2.)
3.)
1.)
V = ________
Level 3:
1.)
SA = _________
V = ________
V = ________
2.)
SA = _________
Level 4
1.) Sara wants to paint the walls of her bedroom.
Her room is 9 feet long, 12 feet wide, and 10
feet high. How much paint will she need?
If each gallon of paint covers 200 square feet,
how many gallons will she need?
2.) Jack is going to paint the ceiling and walls
of his room. If his room is 14 ft high, 10
feet wide, and 9 feet long, what is the
area he has to paint?
2) If each can of paint covers 200 square
feet, how many cans of paint does he
need?
If each gallon of paint costs $15, how much
money will Sara spend?
Level 5
2.)
1.)
V ___________
V ___________
SA _____________
SA _____________
Level 6
Find the surface area of the figures below. Draw out the sides to help you.
1.)
Level 7
2.)
ADVANCED
Surface Area and Volume Levels
Level 1
1)
2)
Level 2
1)
2)
Level 3
1)
Level 4
Level 5
2)
Bradley cut a square hole of wood in wood
shop. If the block was cube-shaped with
side lengths of 8 inches, and the hole had
the side lengths of 3 inches, how much
wood was left after the hole was cut out?
Level 6
Level 7
Level 8
Level 9
Level 10
Find the surface area of the
figure below.
Guided Notes – Geometry
Using Algebra To Find Missing Dimensions
Date _____________
Dimension: _________________, ______________, or ________________
Together
On Your Own
1)
1)
A box has a length of 14 cm, a
height of 12 cm and a volume of
3,108 cm³. What is the width of the
box?
What is the surface area of the box?
What is the surface area of the
picnic cooler?
2)
2)
3)
3)
Together
On Your Own
4)
5)
4)
5)
Guided Notes – Cross Sections
Date ___________
Cross Section: A plane that intersects or ___________________ a _____________,forming
a two-dimensional figure
Your Goal: Be able to identify or draw the _____________________ of the cross section.
*Can slice horizontally ________________________ or vertically _____________________
Example 1:
A cylinder cut
horizontally
makes a cross
section that is a
______________
Example 3 :
A plane cuts the
pentagonal prism
horizontally. What is
the shape of the
cross section?
Example 5 :
A plane cuts the sphere
__________________.
What is the shape of the
cross section?
Example 2:
A cylinder cut
vertically makes a
cross section that is a
_________________
Example 4:
A plane cuts the
triangular pyramid
horizontally. What
is the shape of the
cross section?
Example 6:
A plane cuts the
cone_________________.
What is the shape of the
cross section?
Without a picture:
1) A cone is sitting on its base. Sketch a
picture below.
2) A rectangular prism is sitting on its base.
Sketch a picture below.
If the cone is cut horizontally it makes a
If the rectangular prism is cut vertically it
cross section that is a
makes a cross section that is a
______________________.
______________________.
*Cross sections can also be parallel or ____________________ to the
_____________ of the solid.
Example 1:
What cross
section is formed
when a plane
intersects a
cylinder so that it
is parallel to the
bases?
Example 2:
What cross section
is formed when a
plane intersects a
square pyramid so
that it is
perpendicular to
the base?
Without a picture:
1) A triangular right prism is cut
perpendicular to the base.
What is the shape of the cross
section?
2) What solid only has triangles
for cross sections?
Critical Thinking:
1) Describe how the cross section of Earth changes as you go north from the equator.
How does it stay the same?
Unit – Geometry
Guided Notes – Measuring and Naming Angles
Date__________
Two rays that share the same ___________________ form an angle.
The point where the rays intersect is called the ____________of the angle.
The two rays are called the ______________ of the angle.
How do we name an angle? ____________________________________________
Example:
Types of Angles
Drawing:
Acute - _______________________________________________________
Obtuse - ______________________________________________________
Right - ________________________________________________________
Straight - ______________________________________________________
Estimating Angles – Examples:
1) ________
Measuring with Protractor:
2) ________
3) ________
4) ________
Adjacent Angles: have a common _______________ and a common ___________________
Name Pairs of Adjacent Angles:
_______ and _______
_______ and _______
_______ and _______
_______ and _______
_______ and _______
_______ and _______
Vertical Angles: a pair of ____________________________ angles made by intersecting lines
Vertical angles are __________________________________.
Guided Notes – Angles
Date__________
Supplementary: _________________________________________
Example:
Angle ______ + Angle _____ = _______°
Complementary: _________________________________________
Angle ______ + Angle _____ = ________°
To Find a Missing Angle:
1.
Determine if the angles are complementary (_____) or supplementary (_____)
2.
Write an _____________________________for the missing angle.
3.
___________________________ the equation.
Complementary or Supplementary? Find the missing angle.
1)
2)
3)
4)
5)
To Find a Missing Angle:
Use what you know about vertical angles, adjacent angles, complementary angles and
supplementary angles to find the missing angles in the puzzles below.
1)
2)
4)
5)
Enrichment – Find the Value of x
1)
2)
3)
To Find a Missing Angle:
Use what you know about vertical angles, adjacent angles, complementary angles and
supplementary angles to find the missing angles in the puzzle below.
1)
Guided Notes – Angles of Triangle
Date__________
Angles of a Triangle_______________________________________________________
Example:
1)
3)
2)
The measure of one angle in a
right triangle is 30°. What is
the measure of the third
angle?
Isosceles Triangle _____________________
4)
Stacey drew angles of
55°, 75° and 59°. Could
her angles form a
triangle? Why or why
not?
Equilateral Triangle ____________________
Finding Exterior Angles
1)
2)
3)
Finding a Variable
Find the value of the variable(s) in each of these triangles.
1)
2)
3) CHALLENGE!
Unit – Geometry
Guided Notes – Types of Triangles
All sides congruent
______________________angle
Date__________
Two sides congruent
All ____________________Angles
Examples: Classify the triangle in two ways
1)
2)
4)
3)
a.
b.
c.
d.
Right isosceles triangle
Acute isosceles triangle
Obtuse isosceles triangle
Obtuse scalene triangle
No sides congruent
________________________angle
Triangle Side Lengths
Date__________
Triangle Inequality Theorem: The sum of any two sides of a triangle is always
_______________________ than the third side.
1) Could a triangle have side lengths of:
Side 1: 4
Side 2: 8
Side 3: 2
2) Could a triangle have side lengths of:
Side 1: 3
Side 2: 4
Side 3: 5
Tests:
1)
_______________
2)
_______________
3)
_______________
Tests:
1)
_______________
2)
_______________
3)
_______________
3)
4) Two sides of an isosceles
triangle measure 3 and 7. Which
of the following could be the
measure of the third side ?
A.
B.
C.
5) Is it possible to draw a triangle with a 90˚
angle and one leg that is 4 inches long and
one leg that is 3 inches long?
If so, draw one. Is there more than one such
triangle?
9
7
3
6) Jenna is drawing a blueprint of the
stage for the school show. The stage
will be in the shape of a triangle. Two
sides of the triangle measure 12 and 15
feet respectively. What is the range of
the whole-number lengths for the third
side of the triangle?