Question

Ifa^2+b^2+c^2=29ab+bc+ca=26,then find the value of a+b+c​

Answer 1

Answer:

9

Given:

a²+b²+c²=29

ab+bc+ac=26

Using Identity:

(a+b+c)²=a²+b²+c²+2(ab+bc+ca)

(a+b+c)²=29+2(26)

(a+b+c)²=29+52=81

(a+b+c)=√81=9.

Hence, (a+b+c)=9.