Question

The legs of a right triangle have the following measurements: 5 and 10 inches. What is the length of the hypotenuse??

show work.

Answer 1

approximately 11.18 inches or
`5\sqrt{5` inches

Explanation:

We have to use Pythagorean Theorem for this problem. a^2 + b^2 = c^2, where c is the hypotenuse and a/b are legs of the right triangle.

5^2 + 10^2 = c^2, 25 + 100 = c^2, 125 = c^2, sqrt125 = c

sqrt125 can be simplified to 5sqrt5 (25 * 5 = 125, sqrt25 = 5)

The hypotenuse is approximately 11.18 inches or
`5\sqrt{5` inches.

Answer 2

`5√(5)`

Explanation:

1.
`5^2 +10 ^2 = c^2`

2.
`c^2 = 125`

3.
`c = 5√(5)`