Download geometry: worksheet 7 - Learn Math Fast System

Name___________________________________Date___________
GEOMETRY: WORKSHEET 7
1.
Use the 3-4-5 triangle secret to find the length of this hypotenuse.
2.
Use the Pythagorean Theorem to find the length of this hypotenuse.
3.
Find the diagonal length of the square below.
4.
What type of triangle has a hypotenuse?
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GEOMETRY WORKSHEET 7 Pg. 2
5.
Triangle ABC is an isosceles triangle. What is the length of side AB?
6.
What is the measurement of
7.
A gallon of paint will cover 150 square feet. Will 1 gallon be enough paint to
D if
F = 40o?
cover this surface?
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GEOMETRY WORKSHEET 7 Pg. 3
8.
Use the Pythagorean Theorem to find the length of the hypotenuse in the
following triangles.
9.
I want to put a concrete patio next to my house. It must be square with the
house, in other words, the edge of the patio needs to be perpendicular to
the house. The patio will measure 12’ x 16’ and it will be placed next to the
house as drawn below.
Use the 3-4-5 triangle secret to find the diagonal measurement that will
help you place the patio in the proper place.
10.
Find the area of this right triangle.
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Name___________________________________Date___________
GEOMETRY: WORKSHEET 7
1.
Use the 3-4-5 triangle secret to find the length of this hypotenuse.
The hypotenuse is 20’.
2.
Use the Pythagorean Theorem to find the length of this hypotenuse.
82 + 242 = c2
64 + 576 = c2
640 = c2
640 =
𝑐2
640 = 𝑐
3.
Find the diagonal length of the 10” square.
2
10 + 102 = c2
200 = c2
200 = 𝑐
4.
What type of triangle has a hypotenuse? A right triangle.
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ANSWERS TO GEOMETRY WORKSHEET 7 Pg. 2
5.
Triangle ABC is an isosceles triangle. What is the length of side AB?
Side AB = 12”
6.
What is the measurement of
F = 40o?
D if
180 = 90 + 40 + x
180 = 130 + x
180 – 130 = x
Angle D is 50o
50 = x
7.
Area of the rectangle…13’ x 10’ =
130 sq. ft.
2
Area of the triangle…12’ x 13’ = 156ft
156sq ft x ½ =
TOTAL AREA
78 sq ft
208 sq ft.
No, one gallon is not enough paint.
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ANWERS TO GEOMETRY WORKSHEET 7 Pg. 3
8.
Use the Pythagorean Theorem to find the length of the hypotenuse in the
following triangles.
62 + 82 = c2
32 + 112 = c2
102 + 42 = c2
36 + 64 = c2
9 + 121 = c2
100 + 16 = c2
100 = c2
130 = c2
116 = c2
100 =
𝑐2
130 = 𝑐
116 = 𝑐
10 = c
9.
Solve the diagonal measurement by finding the hypotenuse of the invisible
triangle inside the patio.
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ANWERS TO GEOMETRY WORKSHEET 7 Pg. 4
122 + 162 = c2
144 + 256 = c2
400 = c2
20 = c
10.
Find the area of this right triangle.
This is a 3-4-5 triangle so the missing length is 4’. Area of a triangle is ½ bh.
½ (4’ x 3’)
½ (12 sq ft) = 6 sq ft
The area of the triangle is 6ft2.
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