If the sides of a triangle a, b, c are in A.P., then with usual notations, a ^2 C 2 + c ^2 ~A 2 is

Step-by-step solution

Since a , b , c are in A. P., aligned & 2 b=a+c & a ^2 ( C 2 )+c ^2 ( A 2 ) & = a(1+ C) 2 + c(1+ A) 2 & = a+c+a C+c A 2 & = a+c+b 2 & = 2 b+b 2 = 3 b 2 aligned