Precal Special Right Triangle Check

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 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

In a 30-60-90 triangle, what is the relationship between the short leg and the long leg?

Back

The long leg is √3 times the length of the short leg.

Front

In a 30-60-90 triangle, what is the relationship between the short leg and the hypotenuse?

Back

The hypotenuse is 2 times the length of the short leg.

Front

In a 45-45-90 triangle, what is the relationship between the legs and the hypotenuse?

Back

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

Front

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

Back

The long leg is 5√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 legs of a 45-45-90 triangle are each 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2.

Front

What is the formula to find the length of the hypotenuse in a 30-60-90 triangle?

Back

Hypotenuse = 2 × (short leg).

Front

What is the formula to find the length of the long leg in a 30-60-90 triangle?

Back

Long leg = √3 × (short leg).