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 1 cm, what is the length of the hypotenuse?

Back

√2 cm.

Front

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

Back

5√2 cm.

Front

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

Back

Hypotenuse = leg × √2.

Front

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

Back

10 cm.

Front

What is the area of a 45-45-90 triangle with legs of length 4 cm?

Back

8 cm².

Front

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

Back

3 + 3 + 3√2 cm.

Front

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

Back

x (the other leg is equal to the first leg).

Front

If the hypotenuse of a 45-45-90 triangle is 14 cm, what is the length of each leg?

Back

7√2 cm.