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 of a 45-45-90 triangle?

Back

The lengths of the legs are equal.

Front

What is the length of the hypotenuse in a 45-45-90 triangle if each leg is of length 'a'?

Back

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

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

How do you find the length of the other leg in a 45-45-90 triangle?

Back

The length of the other leg is the same as the first leg.

Front

What is the formula to find the area of a 45-45-90 triangle?

Back

Area = (1/2) * leg * leg = (1/2) * a * a.

Front

If the hypotenuse of a 45-45-90 triangle is 9√2, what is the length of each leg?

Back

Each leg is 9.

Front

What type of triangle is formed by the sides 5, 8, and 6?

Back

It is an obtuse triangle.

Front

In a 45-45-90 triangle, if the hypotenuse is 12√2, what is the length of each leg?

Back

Each leg is 12.

Front

What is the relationship between the angles in a 45-45-90 triangle?

Back

The triangle has two equal angles of 45 degrees and one right angle of 90 degrees.