# 30 - 60 - 90 Triangles

Take a few minutes to interact with the applet below.
Then, answer the questions that follow.

1. How does the length of the hypotenuse of this triangle compare with the length of this triangle's shorter leg?

2. Suppose the shorter leg's length (*BC*) = 4 cm. What would *AB* be? Write this distance in simplest radical form.

3. Take the information from the previous question. Use this information to find *AC*. Write this distance in simplest radical form.

4. Suppose A*C* = . What is *BC*? Write in simplest radical form.

5. Suppose A*C* = . What is *BA*? Write in simplest radical form.

6. Suppose AC = 5. What is *BC*? Write in simplest radical form.