45-45-90 Triangles

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are 45°, 45°, and 90°. The sides opposite the 45° angles are equal, and the hypotenuse is √2 times the length of each leg.

Front

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

Back

In a 45-45-90 triangle, if each leg has a length of 'x', then the hypotenuse has a length of 'x√2'.

Front

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

Back

The hypotenuse is 4√2 units long.

Front

How do you find the diagonal of a square?

Back

The diagonal of a square can be found using the formula: diagonal = side length × √2.

Front

What is the diagonal length of a square with a side length of 8 inches?

Back

The diagonal length is 8√2 inches.

Front

If a square has a perimeter of 32 inches, what is the length of one side?

Back

The length of one side is 8 inches.

Front

What is the formula for the perimeter of a square?

Back

Perimeter = 4 × side length.

Front

In a 45-45-90 triangle, if the hypotenuse is 10√2, what is the length of each leg?

Back

Each leg is 10 units long.

Front

What is the value of x in a 45-45-90 triangle if the legs are 5√2?

Back

x = 5.

Front

How do you solve for the lengths of the legs in a special right triangle?

Back

In a 45-45-90 triangle, both legs are equal, and each leg can be found by dividing the hypotenuse by √2.