Question

if a2+b2+c2= 14;ab+bc+ca=11,then a+b+c=​

Answer 1

Answer:

a+b+c=6

Step-by-step explanation:

As we know,

(a+b+c) ² = a²+b²+c² + 2ab + 2bc +2ca

(a+b+c) ² = a²+b²+c² +2(ab+bc+ca)

Using given values in the question,

(a+b+c) ² = 14+2(11)

(a+b+c)² = 14+22

(a+b+c)² = 36

Taking square root both sides,

(a+b+c) = 6

I hope thay was helpful.