Question

What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 6 and 6?

Answer 1

Let `h` denote hypotenus `l_1` and `l_2` denote the other two sides.
Then, By Pythagorean Theorem
`h^2=l_1^2+l_2^2`
`implies h^2=6^2+6^2=36+36=72`
`implies h=+-sqrt72`
But length is always positive therefore we will take the positive sign.
`implies h=+sqrt72`
`implies h=6sqrt2`