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 length of the hypotenuse is √2 times the length of each leg.

Front

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

Back

The hypotenuse is 10√2 cm.

Front

What is the formula to find the hypotenuse in a 45-45-90 triangle?

Back

Hypotenuse = leg × √2.

Front

How do you find the length of a leg if the hypotenuse is given in a 45-45-90 triangle?

Back

Divide the hypotenuse by √2.

Front

If the hypotenuse of a 45-45-90 triangle is 8√2 cm, what is the length of each leg?

Back

Each leg is 8 cm.

Front

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

Back

Area = (1/2) × leg × leg = (1/2) × 5 × 5 = 12.5 cm².

Front

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

Back

Perimeter = leg + leg + hypotenuse = 6 + 6 + 6√2 = 12 + 6√2 cm.

Front

How do you simplify √50?

Back

√50 = 5√2.

Front

What is the diagonal of a square with side length 12√2 cm?

Back

The diagonal is 24 cm.