Special Right Triangles 45 45 90

Front

What is a 45-45-90 triangle?

Back

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

Front

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

Back

10√2 cm

Front

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

Back

The hypotenuse is equal to the length of a leg multiplied by √2.

Front

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

Back

Divide the length of the hypotenuse by √2.

Front

If one leg of a 45-45-90 triangle is 6 cm, what is the length of the other leg?

Back

6 cm (the legs are equal in length).

Front

What is the formula to calculate the hypotenuse of a 45-45-90 triangle?

Back

Hypotenuse = leg × √2.

Front

In a 45-45-90 triangle, if the hypotenuse is 14√2 cm, what is the length of each leg?

Back

14 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

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

Back

8 cm.

Front

What is the perimeter of a 45-45-90 triangle with legs of length 3 cm?

Back

Perimeter = leg + leg + hypotenuse = 3 + 3 + 3√2 = 6 + 3√2 cm.