Similarity in Right Triangles Extra Credit

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

• 64
• 12
• 9
• 100

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

• 60
• 100
• 80
• 20

• 100
• 110
• 120
• 130

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

• $\frac{10}{x}=\frac{x}{14}$

• $\frac{10}{x}=\frac{x}{24}$

• $\frac{34}{x}=\frac{x}{10}$

• $\frac{24}{10}=\frac{10}{x}$

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

• 2

• 4

• $2\sqrt{5}$

• $4\sqrt{5}$

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

• $\frac{c}{z}=\frac{z}{y}$

• $\frac{c}{a}=\frac{a}{y}$

• $\frac{x}{z}=\frac{z}{y}$

• $\frac{y}{b}=\frac{b}{x}$

Find x.

• 9

• 72

• 121

• 5√3

 $\frac{?}{a}=\frac{a}{c}$  

• c+d

• d

• c

• e

Find x.

• 12
• 20
• 15
• 25