Question

if a square + b square + c square =16 , ab+bc+ac=10 find a+b+c​

Answer 1

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$\huge\tt\red{a+b+c = 6}$

$\tt\green{Given:}$

a²+b²+c²=16

ab+bc+ca=10

$\tt\green{To\:find:}$

a+b+c=?

$\huge\tt\green{Solution:}$

Since, we know that (a+b+c)²=a²+b²+c²+2(ab+bc+ca)

Now, on putting their values

(a+b+c)²= 16+ 2(10)

(a+b+c)²= 16+20

(a+b+c)²= 36

(a+b+c)²= √36

a+b+c= 6

Hence, the value of a+b+c is 6.

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