# How do you prove that the hypotenuse of the longest side in every right triangle a^2+b^2>a^2?

${a}^{2} + {b}^{2} = {c}^{2}$
${a}^{2} = {c}^{2} - {b}^{2}$
${a}^{2} < {c}^{2} \forall b > 0$