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

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

Back

Divide the length of the long leg by √3, then multiply that answer by 2.

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the sides are in the ratio 1:1:√2.

Front

How do you find the length of the other leg in a 45-45-90 triangle if one leg is given?

Back

The length of the other leg is the same as the given leg.

Front

How do you find the hypotenuse in a 45-45-90 triangle if one leg is given?

Back

Multiply the length of the leg by √2.

Front

What is the relationship between the short leg and the hypotenuse in a 30-60-90 triangle?

Back

The hypotenuse is twice the length of the short leg.

Front

If the hypotenuse of a 30-60-90 triangle is given, how do you find the short leg?

Back

Divide the length of the hypotenuse by 2.

Front

If the hypotenuse of a 30-60-90 triangle is given, how do you find the long leg?

Back

Multiply the short leg by √3.

Front

What is the formula to find the area of a triangle?

Back

Area = 1/2 * base * height.

Front

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

Back

The hypotenuse is 10.