1. Show that in a right-angled triangle, the hypotenuse is the longest side.
Solution: It is known that ABC is a triangle right angled at B. We know that, ∠A +∠B+∠C = 180° Now, if ∠B+∠C = 90° then ∠A has to be 90°. Since A is the largest angle of the triangle, the side opposite to it must be the largest. So, AB is the hypotenuse which will be the largest side of the above right-angled triangle i.e. ΔABC.
