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 two legs are equal.

Front

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

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

If the hypotenuse of a 45-45-90 triangle is 6√2, what is the length of each leg?

Back

6.

Front

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

Back

Leg length = Hypotenuse / √2.

Front

If the legs of a 45-45-90 triangle are each 5, what is the length of the hypotenuse?

Back

5√2.

Front

What is the area of a 45-45-90 triangle with legs of length 8?

Back

32 square units (Area = 1/2 * leg * leg).

Front

In a 45-45-90 triangle, if one leg is x, what is the length of the other leg?

Back

x.

Front

If the length of one leg is 3, what is the length of the hypotenuse in a 45-45-90 triangle?

Back

3√2.