Special Right Triangles

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures that allow for easy calculation of side lengths. 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

If the leg of a 45-45-90 triangle is 4, what is the length of the hypotenuse?

Back

Front

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

Back

Front

What is the formula to find the hypotenuse in a 30-60-90 triangle?

Back

The hypotenuse is twice the length of the shorter leg.

Front

In a 45-45-90 triangle, if the hypotenuse is 8√2, what is the length of each leg?

Back

Each leg is 8.

Front

What is the value of x in a 30-60-90 triangle if the longer leg is 6√3?

Back

The shorter leg is 6, and the hypotenuse is 12.

Front

If a triangle has angles of 30°, 60°, and 90°, what type of triangle is it?

Back

It is a 30-60-90 triangle.

Front

What is the relationship between the angles in a right triangle?

Back

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.