45 45 90 Right 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 lengths of the legs are equal, and the hypotenuse is √2 times the length of a leg.

Front

If the length of a leg is 'a', what is the length of the hypotenuse?

Back

The length of the hypotenuse is a√2.

Front

Calculate the hypotenuse if each leg of a 45-45-90 triangle is 4 cm long.

Back

The hypotenuse is 4√2 cm.

Front

What is the length of each leg if the hypotenuse is 8√2 cm?

Back

Each leg is 8 cm.

Front

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

Back

The other leg is also 5 cm.

Front

What is the length of the hypotenuse if the leg is 7 cm?

Back

The hypotenuse is 7√2 cm.

Front

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

Back

Each leg is 10 cm.

Front

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

Back

The area is 18 cm².

Front

If the hypotenuse of a 45-45-90 triangle is 4√2 inches, what is the length of each leg?

Back

Each leg is 4 inches.