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 ratio of the sides in a 45-45-90 triangle?

Back

The ratio of the sides in a 45-45-90 triangle is 1:1:√2.

Front

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

Back

The hypotenuse is 5√2.

Front

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

Back

Divide the length of the hypotenuse by √2.

Front

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

Back

The other leg is also 4.

Front

What is the formula to calculate the hypotenuse in a 45-45-90 triangle?

Back

Hypotenuse = leg × √2.

Front

If the hypotenuse of a 45-45-90 triangle is 10√2, what are the lengths of the legs?

Back

Each leg is 10.

Front

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

Back

Area = (1/2) × leg × leg = (1/2) × 4 × 4 = 8.

Front

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

Back

Hypotenuse = x√2.

Front

If the legs of a 45-45-90 triangle are both 3, what is the length of the hypotenuse?

Back

The hypotenuse is 3√2.