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

Back

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

Front

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

Back

The length of the hypotenuse is x√2.

Front

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

Back

Divide the length of the hypotenuse by √2.

Front

What is the length of the legs if the hypotenuse is 10√2?

Back

The length of each leg is 10.

Front

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

Back

The length of the hypotenuse is 4√2.

Front

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

Back

The area is (a^2)/2.

Front

If the area of a 45-45-90 triangle is 32, what is the length of each leg?

Back

Each leg is 8√2.

Front

In a square with a diagonal of 'd', what is the length of each side?

Back

The length of each side is d/√2.

Front

If a square has a diagonal of 9√2, what is the length of each side?

Back

Each side is 9.