Name: ___________________________________ Pd: ______ Date: ___________
Geometry Chapter 8 Test Review
Find the length of the missing side. Leave your answers in simplified radical form.
1.
2.
10
2
5
12
3. A triangle has sides of lengths 15, 28, and 23. Is it a right triangle? Explain.
4. A triangle has side lengths of 59 cm, 48 cm, and 14 cm. Classify it as acute, obtuse, or right.
5. Use what you know about special right triangles to find the length of the leg. If your answer is not an integer,
leave it in simplest radical form.
12
45°
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6. You are designing a square garden with a diagonal walkway. The area of the garden is 64 m2. How long is the
walkway?
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
7.
8.
x
y
30°
9.
5
y
x
20
30°
60°
18
x
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10
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10. A conveyor belt carries supplies from the first floor to the second floor, which is 15 feet higher. The belt
makes a 60° angle with the ground. How far do the supplies travel from one end of the conveyor belt to the
other? Round your answer to the nearest foot.
Find the value of x. Round your answer to the nearest tenth.
11.
12.
5

x

x
5
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Find the value of x to the nearest degree.
13.
21
11
x
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In problems 14 – 19 find the value of x. Round to the nearest tenth.
14.
15.
x
9


14
x
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16.
17.
x
16
x

16

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18.
19.
9
20
11
x
x
15
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Find the length of the missing side. Leave your answer in simplest radical form.
20.
11
9
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21. In triangle ABC,
is a right angle and
simplest radical form.
45. Find BC. If you answer is not an integer, leave it in
C
13 ft
B
A
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22. Find the lengths of the missing sides in the triangle.
y
8
45°
x
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23. The length of the hypotenuse of a 30°-60°-90° triangle is 15. Find the perimeter.
24. Write the sine, cosine, and tangent ratios for
and
.
P
20
12
R
Q
16
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25. A person in a hot air balloon is looking down at his house at a 30 degree angle of depression. The house is 18
yds from a spot on the ground directly below the balloon. Label the angle of depression and find how far the hot
air balloon is from the ground.
x
18 yd
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26. A 12 foot ladder is propped up against a vertical wall. The top end is 11 feet above the ground. What is the
measure of the angle that the ladder forms with the ground?
27.
28.