Special Right Triangles 30 60 90

Front

What is a 30-60-90 triangle?

Back

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

Front

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

Back

In a 30-60-90 triangle, if the length of the shorter leg (opposite the 30° angle) is 'x', then the longer leg (opposite the 60° angle) is 'x√3' and the hypotenuse is '2x'.

Front

How do you find the length of the longer leg in a 30-60-90 triangle?

Back

Multiply the length of the shorter leg by √3.

Front

How do you find the length of the hypotenuse in a 30-60-90 triangle?

Back

Multiply the length of the shorter leg by 2.

Front

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

Back

5√3.

Front

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

Back

5.

Front

What is the formula for the area of a 30-60-90 triangle?

Back

Area = (1/2) * base * height, where base is the shorter leg and height is the longer leg.

Front

If the longer leg of a 30-60-90 triangle is 8√3, what is the length of the hypotenuse?

Back

16.

Front

What is the length of the shorter leg if the hypotenuse is 12?

Back

6.

Front

In a 30-60-90 triangle, if the longer leg is 4√3, what is the length of the shorter leg?

Back

4.