The Total solution for NCERT class 6-12
ABC is an isoscelestriangle right angled at C. Prove that AB2 = 2AC2 .
Given, ΔABC is an isosceles triangle rightangled at C.
In ΔACB, ∠C = 90°
AC = BC (By isosceles triangle property)
AB2 = AC2 + BC2 [ByPythagoras theorem]
= AC2 + AC2 [Since,AC = BC]
AB2 = 2AC2