Chapter 7.4 Special Right Triangles

Front

What is the length of the diagonal of a square with side length 48 inches?

Back

The length of the diagonal is 48√2 inches.

Front

In a 45-45-90 triangle, if one leg is 7 cm, what is the length of the hypotenuse?

Back

The hypotenuse is 7√2 cm.

Front

What is the formula for finding the hypotenuse in a 45-45-90 triangle?

Back

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

Front

If the leg of a 30-60-90 triangle is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 8.

Front

In a 30-60-90 triangle, what is the relationship between the lengths of the sides?

Back

The lengths are in the ratio 1:√3:2.

Front

What is the height of an equilateral triangle with side length 32 mm?

Back

The height is 16√3 mm.

Front

What is the formula for the height of an equilateral triangle?

Back

Front

If the legs of a 30-60-90 triangle are 4 and 4√3, what is the length of the hypotenuse?

Back

The hypotenuse is 8.

Front

Back

x is equal to 8√3.

Front

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

Back

Each leg is 10.