√45 in simplest radical form:

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

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

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  $\overline{AB}$  ?

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

Find x.

Solve for x and y.

 $\frac{?}{a}=\frac{a}{c}$  

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