45-45-90 Right Triangles

Front

What is a 45-45-90 triangle?

Back

A 45-45-90 triangle is an isosceles right triangle where the angles are 45 degrees, 45 degrees, and 90 degrees.

Front

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

Back

The lengths of the legs are equal.

Front

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

Back

Multiply the length of a leg by √2.

Front

If one leg of a 45-45-90 triangle is 4, what is the length of the hypotenuse?

Back

4√2.

Front

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

Back

Divide the length of the hypotenuse by √2.

Front

If the hypotenuse of a 45-45-90 triangle is 5√2, what is the length of each leg?

Back

5.

Front

In a 45-45-90 triangle, if one leg measures 11, what is the length of the hypotenuse?

Back

11√2.

Front

What is the value of the legs in a 45-45-90 triangle if the hypotenuse is 22?

Back

Each leg is 22/√2 or 11√2.

Front

What is the area of a 45-45-90 triangle with legs of length 4?

Back

8 square units.

Front

What is the perimeter of a 45-45-90 triangle with legs of length 4?

Back

8 + 4√2.