Similarity in Right Triangles Labeling

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

Solve for x and y.

• x = 2√26; y = 4√3

• x = 2√21; y = 6

• x = 2√21; y = 4√3

• None of these

None of these

• None of these

• x = 8; y = 6√6

• x = 6√2; y = 14

• x = 6√2; y = 6√6

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

• 
• 100

• 
• 96

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

• 2

• 4

• A
• B
• C
• D

Find x.

• 12

• 20

• 15

• 25

Find x.

• 4

• 6

• 8

• 12

Find x.

• 12

• 16

• 24

• 30

Find x.

• 10

• 74

• 7

• 25