45-45-90 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 and the hypotenuse in a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of each leg.

Front

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

Back

The hypotenuse is 10√2.

Front

If the hypotenuse of a 45-45-90 triangle is 16√2, what is the length of each leg?

Back

Each leg is 16.

Front

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

Back

Hypotenuse = leg × √2.

Front

If one leg of a 45-45-90 triangle is 5, what is the length of the other leg?

Back

The other leg is also 5.

Front

What is the value of x if the legs of a 45-45-90 triangle are 8?

Back

x = 8√2.

Front

How do you solve for the legs in a 45-45-90 triangle if given the hypotenuse?

Back

Divide the hypotenuse by √2.

Front

If the legs of a 45-45-90 triangle are 5√2, what is the hypotenuse?

Back

The hypotenuse is 10.

Front

What is the area of a 45-45-90 triangle with legs of length 10?

Back

Area = (1/2) × leg × leg = (1/2) × 10 × 10 = 50.