30-60-90 45-45-90 Triangles

Front

What is a 30-60-90 triangle?

Back

A right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees.

Front

What is the ratio of the sides in a 30-60-90 triangle?

Back

The ratio of the sides is 1 : √3 : 2, where 1 is the length of the shorter leg, √3 is the length of the longer leg, and 2 is the length of the hypotenuse.

Front

If the shorter leg of a 30-60-90 triangle is 6, what is the length of the hypotenuse?

Back

12.

Front

If the hypotenuse of a 30-60-90 triangle is 18, what is the length of the shorter leg?

Back

9.

Front

What is a 45-45-90 triangle?

Back

A right triangle where the angles are both 45 degrees and the hypotenuse is opposite the right angle.

Front

What is the ratio of the sides in a 45-45-90 triangle?

Back

The ratio of the sides is 1 : 1 : √2, where the legs are equal and the hypotenuse is √2 times the length of each leg.

Front

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

Back

4√2.

Front

If the hypotenuse of a 45-45-90 triangle is 10√2, what is the length of each leg?

Back

10.

Front

How do you find the longer leg in a 30-60-90 triangle if the shorter leg is known?

Back

Multiply the length of the shorter leg by √3.

Front

How do you find the shorter leg in a 30-60-90 triangle if the hypotenuse is known?

Back

Divide the length of the hypotenuse by 2.