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 lengths of the legs to the hypotenuse in a 45-45-90 triangle is 1:1:√2.

Front

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

Back

The hypotenuse is x√2.

Front

If the hypotenuse of a 45-45-90 triangle is 10√2, what is the length of each leg?

Back

Each leg is 10.

Front

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

Back

Divide the length of the hypotenuse by √2.

Front

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

Back

The hypotenuse is 5√2.

Front

What is the area of a 45-45-90 triangle with legs of length 6?

Back

The area is 18 square units.

Front

If one leg of a 45-45-90 triangle is 8, what is the length of the other leg?

Back

The other leg is also 8.

Front

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

Back

The perimeter is 4 + 4 + 4√2 = 8 + 4√2.

Front

In a 45-45-90 triangle, if the legs are equal, what can be said about the triangle?

Back

It is an isosceles triangle.