Special Right Triangles

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1:√3:2.

Front

What is the short leg in a 30-60-90 triangle?

Back

The side opposite the 30-degree angle, which is the shortest side.

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

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the hypotenuse is √2 times the length of each leg.

Front

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

Back

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

Front

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

Back

4√2.

Front

What is the formula to find the hypotenuse in a 45-45-90 triangle?

Back

Hypotenuse = leg × √2.

Front

In a 30-60-90 triangle, if the short leg is 5, what is the length of the long leg?

Back

5√3.

Front

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

Back

1:√3:2.

Front

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

Back

Divide the length of the hypotenuse by 2.