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 sides in a 45-45-90 triangle?

Back

The ratio of the sides in a 45-45-90 triangle is 1:1:√2.

Front

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

Back

The length of the hypotenuse is 'a√2'.

Front

Find the lengths of the legs if the hypotenuse is 10√2.

Back

The lengths of the legs are 10.

Front

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

Back

The length of the other leg is also 5.

Front

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

Back

The area is (a^2)/2.

Front

If the legs of a 45-45-90 triangle are 4, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 4√2.

Front

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

Back

The length of the hypotenuse is 8√2.

Front

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

Back

The perimeter is 6 + 6 + 6√2 = 12 + 6√2.

Front

If the hypotenuse of a 45-45-90 triangle is 11√2, what are the lengths of the legs?

Back

The lengths of the legs are 11.