Question

If the lengths of the legs of a right triangle are 5 and 12, what is the length of the hypotenuse?

Answer 1

h - length of the hypotenuse

Use the Pyhagorean theorem:

$h^2=5^2+12^2\\\\h^2=25+144\\\\h^2=169\to h=\sqrt{169}\\\\\boxed{h=13}$