Special Right Triangles and Trig Ratios Practice

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 main 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 4, what is the length of the hypotenuse?

Back

The hypotenuse is 8, since it is twice the length of the shorter leg.

Front

What is the formula for the sine of an angle in a right triangle?

Back

Front

What is the formula for the cosine of an angle in a right triangle?

Back

Front

What is the formula for the tangent of an angle in a right triangle?

Back

Front

How do you solve for a side in a right triangle using trigonometric ratios?

Back

Use the appropriate trigonometric ratio (sine, cosine, or tangent) based on the known angle and the sides involved.

Front

If the hypotenuse of a 45-45-90 triangle is 10, what is the length of each leg?

Back