Question

If a square a + b square + c square equals to 29 and AB + BC + CA = 26 then find the value of a + b + c ?

Answer 1

Answer:

We know the formula:

(a+b+c)² = a² + b² + c² + 2(ab+bc+ca)

Given:

a+b+c = 9 & ab+bc+ca = 26

Now putting the values in the above formula,

We get,

(9)² = a² + b² + c² + 2×26

81 = (a² +b² +c²) + 52

(a² +b²+c²) = 81-52

(a² + b² + c²) = 29 (Answer

Answer 2

Answer:

a² +b²+ c²=29

ab + bc + ca= 26

(a +b +c)² = a²+ b²+ c²+2ab+ 2bc +2ca

(a +b +c)²= 29 +2 (ab +bc+ ca)

(a +b+ c)² = 29 + 2(26)

= 29 + 52

= 81

a+ b+ c =root 81

a +b +c=9

Hope it will help you...................