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 of a 45-45-90 triangle?

Back

The legs of a 45-45-90 triangle are congruent, meaning they have the same length.

Front

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

Back

Multiply the length of a leg by √2 to find the hypotenuse.

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 formula to find the length of the legs if the hypotenuse is known?

Back

Leg length = Hypotenuse / √2.

Front

In a 45-45-90 triangle, if one leg 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 4?

Back

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

Front

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

Back

Hypotenuse = x√2.

Front

What is the diagonal length of a square with side length 9?

Back

Diagonal = 9√2.

Front

If the legs of a 45-45-90 triangle are 6, what is the perimeter?

Back

Perimeter = 6 + 6 + 6√2 = 12 + 6√2.