1.

If a2+b2+c2=85 and ab+bc+ca=3 then find the value of a+b+c

Answer»

Answer:

HELLO Dear User__________

Here is Your Answer...!!

____________________

STEP by step SOLUTION:

Given \ a^{2} +b^{2} +c^{2}=85\\ \\and \ (ab+bc+ca)=3\\\\We \ have \ to \ find \ (a+b+c)\\\\First \ multiply \ by \ 2 \ in \ (ab+bc+ca)=3\\\\2 (ab+bc+ca)=3 \times2\\\\2 (ab+bc+ca)=3=6\\\\we \ know \ formula\\(a+b+c)^{2}=a^{2} +b^{2} +c^{2}+2(ab+bc+ca)\\\\putting \ value \ here\\\\(a+b+c)^{2}=85+6\\\\(a+b+c)^{2}=91\\\\(a+b+c)=\sqrt{91}

Hope it is clear to you.


Discussion

No Comment Found

Related InterviewSolutions