SPECIAL RIGHT TRIANGLES

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

How do you find the hypotenuse of a 45-45-90 triangle?

Back

Multiply the length of a leg by √2.

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.

Front

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

Back

Multiply the length of the short leg by 2.

Front

What is the length of the long leg in a 30-60-90 triangle if the short leg is 4?

Back

Multiply 4 by √3, which equals 4√3.

Front

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

Back

The lengths of the legs are equal, and the hypotenuse is √2 times the length of a leg.

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, which simplifies to 5√2.

Front

In a 30-60-90 triangle, if the short leg is 5, what is the length of the hypotenuse?

Back

The hypotenuse is 5 * 2 = 10.

Front

What is the measure of the angles in a 30-60-90 triangle?

Back

30°, 60°, and 90°.

Front

How do you find the length of the long leg in a 30-60-90 triangle if the short leg is known?

Back

Multiply the length of the short leg by √3.