45-45-90 Right 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 and the hypotenuse in a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of each leg.

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

What is the length of each leg if the hypotenuse is 8√2?

Back

Each leg is 8.

Front

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

Back

The length of the other leg is the same as the known leg.

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 formula to calculate the area of a 45-45-90 triangle?

Back

Area = (1/2) * leg * leg = (1/2) * x * x.

Front

If the hypotenuse of a 45-45-90 triangle is 12, what is the length of each leg?

Back

Each leg is 12/√2 or 6√2.

Front

What is the value of √2 approximately?

Back

√2 is approximately 1.414.

Front

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

Back

The hypotenuse is 10√2.