Special Right Triangles Practice

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures that allow for easy calculation of side lengths. The two main types are the 45-45-90 triangle and the 30-60-90 triangle.

Front

In a 45-45-90 triangle, what is the ratio of the lengths of the legs to the hypotenuse?

Back

The ratio of the lengths of the legs to the hypotenuse in a 45-45-90 triangle is 1:1:√2.

Front

What is the length of the hypotenuse in a 30-60-90 triangle if the shorter leg is 5?

Back

The length of the hypotenuse is 10.

Front

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

Back

The length of the longer leg is 4√3.

Front

State the Pythagorean Theorem.

Back

Front

If one leg of a 45-45-90 triangle is 6, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 6√2.

Front

What is the relationship between the angles in a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the angles are 30 degrees, 60 degrees, and 90 degrees.

Front

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

Back

The length of the shorter leg is 6.

Front

What is the formula to find the area of a right triangle?

Back

The area of a right triangle can be found using the formula: Area = (1/2) * base * height.

Front

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

Back

Each leg is 10/√2 or 5√2.