The Total solution for NCERT class 6-12
ABC is an isoscelestriangle with AC = BC. If AB2 = 2AC2, provethat ABC is a right triangle.
Given, ΔABC is an isosceles triangle having AC= BC and AB2 = 2AC2
In ΔACB,
AC = BC
AB2 = 2AC2
AB2 = AC2 + AC2
= AC2 +BC2 [Since, AC = BC]
Hence, by Pythagoras theorem ΔABC isright angle triangle.