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 one leg of a 45-45-90 triangle is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2.

Front

What is the measure of the angles in a 45-45-90 triangle?

Back

The angles are 45 degrees, 45 degrees, and 90 degrees.

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

What type of triangle has two congruent sides?

Back

An isosceles triangle has two congruent sides.

Front

In a 45-45-90 triangle, if the hypotenuse is 8, what is the length of each leg?

Back

Each leg is 8/√2 or 4√2.

Front

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

Back

Hypotenuse = leg × √2.

Front

If the legs of a 45-45-90 triangle are both 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 6?

Back

Area = (1/2) × leg × leg = (1/2) × 6 × 6 = 18.