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 ratio of the lengths of the sides in a 45-45-90 triangle?

Back

The ratio of the lengths of the sides is 1:1:√2, where the legs are of equal length 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 'a', what is the length of the hypotenuse?

Back

The length of the hypotenuse is a√2.

Front

Find the hypotenuse if each leg of a 45-45-90 triangle is 4.5.

Back

The hypotenuse is 4.5√2.

Front

If the hypotenuse of a 45-45-90 triangle is 11√2, what is the length of each leg?

Back

Each leg is 11.

Front

What is the formula to find the length of a leg if the hypotenuse is known in a 45-45-90 triangle?

Back

The formula is leg = hypotenuse / √2.

Front

If one leg of a 45-45-90 triangle is 3, what is the length of the hypotenuse?

Back

The hypotenuse is 3√2.

Front

What is the area of a 45-45-90 triangle with legs of length 4?

Back

The area is 8 square units (Area = 1/2 * base * height = 1/2 * 4 * 4).

Front

If the length of the hypotenuse is 12√2, what is the length of each leg?

Back

Each leg is 12.

Front

What is the relationship between the legs and the hypotenuse in a 45-45-90 triangle?

Back

The hypotenuse is √2 times the length of each leg.