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 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 hypotenuse is x√2.

Front

How do you find the length of the legs if you know the hypotenuse of a 45-45-90 triangle?

Back

Divide the length of the hypotenuse by √2.

Front

What is the measure of the hypotenuse if each leg measures 10 units?

Back

The hypotenuse measures 10√2 units.

Front

If the hypotenuse of a 45-45-90 triangle is 8√2 units, what is the length of each leg?

Back

Each leg measures 8 units.

Front

In a 45-45-90 triangle, what can be said about the lengths of the legs?

Back

The lengths of the legs are equal.

Front

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

Back

Hypotenuse = leg × √2.

Front

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

Back

The other leg is also 5 units.

Front

What is the area of a 45-45-90 triangle with legs of length 6 units?

Back

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