Question

A right triangle has legs that are both 10 inches long. How long is the hypotenuse?

Answer 1

10
`√(2)` inches

Explanation:

If
`c^(2) = a^(2) + b^(2)` , where c is the hypotenuse and a/b are the legs, in a right triangle, then:

`c^(2) = 10^(2) + 10^(2)`

`c^(2) = 100 + 100\\= 200\\=> c = √(200) = √(100) √(2) = 10√(2)`

Thus, the hypotenuse is
`10√(2)` inches (don't forget the units!)

Answer 2

10√2 inches

Explanation:

10^2 + 10^2 = 200

square root of 200 = 10√2

use pythagorean theorem