Quiz about Similar Right Triangles Review

Question 1

Find the missing length indicated. Leave your answer in simplest radical form.

Accepted Answer

9

Answer

64

Answer

12

Answer

100

Question 2

Find the missing length indicated. Leave your answer in simplest radical form.

Accepted Answer

60

Answer

100

Answer

80

Answer

20

Question 3

Question 3.

Accepted Answer

100

Answer

110

Answer

120

Answer

130

Question 4

Given the diagram at the right, as labeled, find CD.

Accepted Answer

4

Answer

2

Answer

$$2\sqrt{5}$$

Answer

$$4\sqrt{5}$$

Question 5

The accompanying diagram shows a 24-foot ladder

leaning against a building. A steel brace extends

from the ladder to the point where the building

meets the ground. The brace forms a right angle

with the ladder. If the steel brace is connected to

the ladder at a point that is 10 feet from the foot of the ladder, which equation can be used to find the length, x, of the steel brace

Accepted Answer

$$\frac{10}{x}=\frac{x}{14}$$

Answer

$$\frac{10}{x}=\frac{x}{24}$$

Answer

$$\frac{34}{x}=\frac{x}{10}$$

Answer

$$\frac{24}{10}=\frac{10}{x}$$

Question 6

In right triangle ABC shown in the diagram below, altitude
$$\overline{BD}$$ is drawn to hypotenuse $$\overline{AC}$$ , CD=12, and AD=3. What is the length of $$\overline{AB}$$ ?

Accepted Answer

$$3\sqrt{5}$$

Answer

$$5\sqrt{3}$$

Answer

Answer

Question 7

In the diagram below of right triangle ABC, an altitude is drawn to the hypotenuse AB. Which of the following is true?

Accepted Answer

$$\frac{x}{z}=\frac{z}{y}$$

Answer

$$\frac{c}{z}=\frac{z}{y}$$

Answer

$$\frac{c}{a}=\frac{a}{y}$$

Answer

$$\frac{y}{b}=\frac{b}{x}$$

Question 8

$$\frac{?}{a}=\frac{a}{c}$$

Accepted Answer

c+d

Answer

d

Answer

c

Answer

e

Question 9

Find the missing length indicated. Leave your answer in simplest radical form.

Accepted Answer

96

Answer

A.

Answer

100

Answer

C.

Question 10

Question 10.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 11

Find x.

Accepted Answer

15

Answer

12

Answer

20

Answer

25

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