Question

Prove that in a right angled triangle, hypotenuse is the longest side.

Answer 1

Let’s name triangle$ABC$

In triangle $ABC$

Angle $B={90}^0$

Angle B and angle$A,$

$AC>BC$ ………..(1) (side opposite to greater angle is longer)

Angle$B$ and angle $c,$

$AC>AB$ ……..(2) (side opposite to greater angle is longer)

From equation 1^st and 2^nd ,

$AC>BC,AB$

Hence, hypotenuse is the longest side.