Question

show that in a right angle triangle the hypotenuse is the longest side​

Answer 1

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. ... The hypotenuse of a right triangle is always the side opposite the right angle.

Answer 2

Answer:

Let P be the Perpendicular

B be Base

H be hypotenuse

By Pythagoras Theorem:

${P}^{2} + {B}^{2} = {H}^{2}$

So hence the assumption is H is the square root of squares of other two sides hence we conclude that the hypotenuse is the longest side.