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 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 each leg.

Front

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

Back

The hypotenuse is a√2.

Front

Calculate the hypotenuse if each leg of a 45-45-90 triangle is 7 cm.

Back

Hypotenuse = 7√2 cm.

Front

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

Back

Leg = Hypotenuse / √2.

Front

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

Back

Each leg = 10 cm.

Front

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

Back

Area = (a^2) / 2.

Front

If one leg of a 45-45-90 triangle is 4√3 cm, what is the length of the hypotenuse?

Back

Hypotenuse = 4√6 cm.

Front

Find the length of the leg if the hypotenuse is 14√2 cm.

Back

Leg = 14 cm.

Front

What is the perimeter of a 45-45-90 triangle with legs of length 5 cm?

Back

Perimeter = 5 + 5 + 5√2 = 10 + 5√2 cm.