Similarity and Right Triangles

Find the value of x?

Write your answer as a decimal.

Find the value of x.

Write your answer as a decimal.

Find the value of b.

^{Find the value of b.}

A playground is a rectangle 18 meters wide and 24 meters long. A child runs from one corner to the corner diagonally across. How many meters is this distance?

Which set of sides would make a right triangle?

• 8, 10, 12

• 16, 20, 24

• 10, 20, 24

• 10, 24, 26

Find the missing length.

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

• 100
• 110
• 120
• 130

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

• 2

• 4