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 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 a leg is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2.

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

What is the length of a leg if the hypotenuse is 8?

Back

The length of each leg is 8/√2 or 4√2.

Front

What is the simplified form of √24?

Back

2√6.

Front

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

Back

The other leg is also 5.

Front

What is the formula to calculate the hypotenuse in a 45-45-90 triangle?

Back

Hypotenuse = leg × √2.

Front

What is the value of y if the leg length is 5 in a 45-45-90 triangle?

Back

y = 5.

Front

If the hypotenuse is 10, what is the length of each leg?

Back

Each leg is 10/√2 or 5√2.