Special Right Triangles

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the two legs are of equal length and the angles are 45°, 45°, and 90°.

Front

What is the relationship between the legs and hypotenuse in a 45-45-90 triangle?

Back

The length of the hypotenuse is √2 times the length of each leg.

Front

How do you find the length of the legs in a 45-45-90 triangle if the hypotenuse is known?

Back

Divide the length of the hypotenuse by √2.

Front

What is a 30-60-90 triangle?

Back

A special right triangle with angles of 30°, 60°, and 90°.

Front

What is the relationship between the sides in a 30-60-90 triangle?

Back

The length of the hypotenuse is twice the length of the short leg, and the length of the long leg is √3 times the length of the short leg.

Front

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

Back

Multiply the length of the short leg by 2.

Front

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

Back

Multiply the length of the short leg by √3.

Front

If the length of the hypotenuse in a 30-60-90 triangle is 10, what is the length of the short leg?

Back

5.

Front

If the length of the short leg in a 30-60-90 triangle is 4, what is the length of the long leg?

Back

4√3.

Front

What is the formula to find the length of a leg in a 45-45-90 triangle?

Back

Leg = Hypotenuse / √2.