Radicals and Right Triangles

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

√28 in simplest radical form:

• 7√2

• 7√4

• 4√7

• 2√7

√45 in simplest radical form:

• 3√5

• 5√3

• 9√5

• 5√9

In simplest radical form,
√80 is equivalent to

• 16√5
• 2√20
• 4√5
• 8√5

• 100
• 110
• 120
• 130

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

• 2

• 4

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

• 6

• 9

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