30-60-90 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.

Front

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

Back

The ratio of the lengths of the sides opposite the 30°, 60°, and 90° angles is 1:√3:2.

Front

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

Back

The long leg is x√3.

Front

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

Back

The hypotenuse is 2x.

Front

What is the value of x if the short leg is 3 in a 30-60-90 triangle?

Back

x = 3√3 (long leg), hypotenuse = 6.

Front

What is the value of y if the long leg is 8√3 in a 30-60-90 triangle?

Back

y = 8 (short leg), hypotenuse = 16.

Front

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

Back

Divide the long leg by √3.

Front

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

Back

The short leg is 5.

Front

If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the long leg?

Back

The long leg is 6√3.

Front

What is the value of x if the hypotenuse is 8 in a 30-60-90 triangle?

Back

x = 4 (short leg), long leg = 4√3.