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 x, what is the length of the hypotenuse?

Back

The length of the hypotenuse is x√2.

Front

Find the hypotenuse if each leg of a 45-45-90 triangle is 3. What is the value of the hypotenuse?

Back

The hypotenuse is 3√2.

Front

If the hypotenuse of a 45-45-90 triangle is 8√2, what is the length of each leg?

Back

Each leg is 8.

Front

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

Back

The area is 8 square units.

Front

How do you find the length of a leg 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 5, what is the length of the hypotenuse?

Back

The hypotenuse is 5√2.

Front

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

Back

The perimeter is 6 + 6 + 6√2 = 12 + 6√2.

Front

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

Back

Each leg is 10.