Special Right Triangles!

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures and side length ratios. The two most common types are the 45-45-90 triangle and the 30-60-90 triangle.

Front

What are the side ratios of a 45-45-90 triangle?

Back

Front

What are the side ratios of a 30-60-90 triangle?

Back

Front

How do you find the length of the hypotenuse in a 45-45-90 triangle?

Back

Front

If one leg of a 30-60-90 triangle is 5, what is the length of the hypotenuse?

Back

The hypotenuse is 10, since it is twice the length of the shorter leg.

Front

What is the formula for the area of a triangle?

Back

Front

In a 45-45-90 triangle, if the legs are each 9, what is the length of the hypotenuse?

Back

Front

If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the shorter leg?

Back

The shorter leg (opposite the 30° angle) is 6.

Front

What is the Pythagorean theorem?

Back

Front

How do you solve for a missing side in a right triangle using the Pythagorean theorem?

Back