Math, asked by khushi3729, 1 year ago

a+b+c=12 and a^2+b^2+c^2=64


yoonie: To find?

Answers

Answered by Anonymous
3
Answer : 80

Solution :
_________

Given that :

a + b + c = 12 \: and \:  {a }^{2}  +  {b}^{2}  +  {c}^{2}  = 64

As we know that :

 {(a + b + c)}^{2}  =  {a}^{2}  +  {b}^{2}  +  {c}^{2}  + 2(ab + bc + ca) \\  \\  =  >  {(12)}^{2}  = 64 + 2(ab + bc + ca)  \\  \\  =  > 2(ab + bc + ca) = 144 - 64 = 80

So, the answer will be 80
Answered by Anonymous
0
What's ur question ???....

The question is incomplete....

Though, I think u wanna ask the value of
(ab + bc + ca).....


(a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab +bc +ca)

So,

12^2 = 64 + 2(ab + bc + ca)

Hence,

ab + bc +ca is 40
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