Special Right Triangles Mixed

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures and side length ratios, such as the 45°-45°-90° triangle and the 30°-60°-90° triangle.

Front

What is the side length ratio of a 45°-45°-90° triangle?

Back

Front

What is the side length ratio of a 30°-60°-90° triangle?

Back

Front

If the leg of a 45°-45°-90° triangle is 5, what is the length of the hypotenuse?

Back

Front

If the shorter leg of a 30°-60°-90° triangle is 4, what is the length of the longer leg?

Back

Front

What is the value of x in a 45°-45°-90° triangle if the hypotenuse is 10?

Back

Front

What is the value of x in a 30°-60°-90° triangle if the hypotenuse is 12?

Back

Front

How do you find the missing side length in a special right triangle?

Back

Use the known side lengths and the ratios specific to the type of special right triangle (45°-45°-90° or 30°-60°-90°) to calculate the missing side.

Front

What is the angle measure of the two angles in a 45°-45°-90° triangle?

Back

Both angles measure 45°.

Front

What is the angle measure of the angles in a 30°-60°-90° triangle?

Back

The angles measure 30°, 60°, and 90°.