Download 1) Find the length of the hypotenuse of an isosceles right triangle

Name ____________________________ Period _______ Date _______Test Review – Geometric Mean,
Special Right and Trig Ratios and Solving for Side Lengths using Trig.
Problems 1 – 5 worth 2 points each - Problems 6 – 15 worth 3 points each - Problems 16 – 27 worth 10 points each
1) Find the length of the hypotenuse of an isosceles right triangle whose
legs each have the length: a) 8 in. ________
b) 6
2 in. ________
2) Find X ________, Y ________ and Z ________.
3) Find the length of the diagonal of a square with the perimeter of 24 cm.
4) Find the Geometric Mean between 12 and 18.
5) Find X _______, Y________ and Z _______.
6) If the perimeter of an equilateral triangle is 54 inches, find the length
of its altitude.
7) If the altitude of an equilateral triangle is 16
3 cm., what is the
perimeter of the equilateral triangle?
Solve for the missing sides. Leave answers in SIMPLIFIED RADICAL FORM.
8) x = ________
y = ________
9) x = ________
y = ________
y
10) x = ________
11) x = ________
y = ________
y = ________
Find the value of x. Round lengths of segments to the nearest tenth and
angle measures to the nearest degree.
12) x = ________
13) x = ________
14) x = _________
15) Megan is using an equilateral triangle as part of a design on a sweatshirt. Each side of the triangle is 12 inches long.
Megan is sewing a line of sequins from the midpoint of one side of this triangle to the opposite vertex.
Approximately how long will the line of sequins be?
16) Find the perimeter of this isosceles trapezoid.
17) Write a trigonometric equation to solve for x.
10
9
25º
60
x
16
18) Find the perimeter of this trapezoid.
A
30
D
8
B
10
19) A ladder on a fire truck has its base 6 ft. above the
ground. The maximum length of the ladder is 50 ft. If
the ladder’s greatest angle of elevation possible is 70,
what is the highest above the ground that it can reach?
Trig ratio:
C
20) A rhombus is shown below. If the height, h,
intersects the base at its midpoint, what is the
approximate height of the rhombus?
50
10 inches
70º
6
Height:
21) Circle all the Pythagorean Triples in the list:
2, 3, 4
7, 15, 17
3, 4, 5
8, 15, 17
4, 8, 10
7, 24, 25
6, 8, 10
9, 21, 27
5, 12, 13
10, 24, 26
23) Label the angles from smallest to largest.
53
58
97
25)
22) Label the sides from largest to smallest.
24º
24)