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 each leg of a 45-45-90 triangle 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 in a 45-45-90 triangle if the hypotenuse is known?

Back

Divide the length of the hypotenuse by √2.

Front

What is the length of the diagonal of a square with side length 's'?

Back

The diagonal is s√2.

Front

If the diagonal of a square is 12√2 cm, what is the length of each side?

Back

Each side is 12 cm.

Front

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

Back

Hypotenuse = leg × √2.

Front

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

Back

The hypotenuse is 5√2.

Front

What is the value of the legs in a 45-45-90 triangle if the hypotenuse is 8?

Back

Each leg is 8/√2 or 4√2.

Front

In a 45-45-90 triangle, if one leg is 11, what is the length of the hypotenuse?

Back

The hypotenuse is 11√2.