30 60 90 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.

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 4, what is the length of the hypotenuse?

Back

8 (Multiply the short leg by 2).

Front

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

Back

4√3 (Multiply the short leg by √3).

Front

What is the length of the hypotenuse if the short leg is represented as 'u'?

Back

The hypotenuse is 2u.

Front

What is the length of the long leg if the short leg is represented as 'u'?

Back

The long leg is u√3.

Front

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

Back

5 (Divide the hypotenuse by 2).

Front

In a 30-60-90 triangle, if the hypotenuse is 10, what is the length of the long leg?

Back

5√3 (Multiply the short leg by √3).

Front

If the long leg of a 30-60-90 triangle is represented as 'v', what is the relationship between 'v' and the short leg 'u'?

Back

v = u√3.

Front

If the short leg is 8, what are the lengths of the hypotenuse and long leg in a 30-60-90 triangle?

Back

Hypotenuse = 16, Long leg = 8√3.