Question

ABC is an isosceles triangle with AC = BC . If AB2 = 2AC2 . Prove that abc is a right angle triangle

Answer 1

Given,
AC= BC
if it is right angled triangle than it will need to satisfy phythagoras theorem.
AB^2= AC^2+BC^2
Ab^2= 2AC^2 (since, Ac=BC given)

Answer 2

AC=BC

      by pythagoras theorem

                  AB²=AC²+CB²

                 AB²=AC²+AC²

                     AB²=2CA²

                      therefore ABC is a  right angled triangle