Special Right Triangles Practice

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are 45°, 45°, and 90°. The legs are of equal length, and the hypotenuse is √2 times the length of a leg.

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30°, 60°, and 90°. The lengths of the sides are in the ratio 1:√3:2, with the shortest side opposite the 30° angle.

Front

How do you find the hypotenuse of a 45-45-90 triangle if you know the length of a leg?

Back

Multiply the length of the leg by √2.

Front

How do you find the hypotenuse of a 30-60-90 triangle if you know the length of the short leg?

Back

Multiply the length of the short leg by 2.

Front

What is the relationship between the legs of a 45-45-90 triangle?

Back

The lengths of the legs are equal.

Front

If the hypotenuse of a 45-45-90 triangle is 10, what is the length of each leg?

Back

Each leg is 10/√2 or 5√2.

Front

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

Back

The long leg is 4√3.

Front

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

Back

Hypotenuse = 2 × (length of the short leg).

Front

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

Back

The short leg is 12/2 = 6.

Front

What is the formula to find the length of the other leg in a 45-45-90 triangle?

Back

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