Why hypotenuse more than other two sides?

Answer 1

We don't think about this very often, but it turns out that in any triangle, the order of the angles by length is the same as the order of the sides opposite them by length. What I mean is: -- the shortest side is opposite the smallest angle

-- the medium side is opposite the medium angle

-- the longest side is opposite the largest angle In a right triangle, the right angle has to be the largest angle(**). So the side opposite it ... called the hypotenuse ... has to be the longest side. ============================================================ (**) Here's why the right angle has to be the largest angle: In any triangle, the inside angles all add up to 180 degrees. In a right triangle, one of the angles is 90 degrees. That leaves only another 90 degrees to split up between the other two angles, so both of them must be less than 90 degrees.