Math, asked by harshkumar80, 1 year ago

if (a+b+c) =8 and (ab+bc+CA) = 19 , find (A2+B2+c2).

Answers

Answered by enna11
1
now(a+b+c)^2=a^2+b^2+c^2+2(ab+bc +ca)
thus, (8)^2=a^2+b^2+c^2+2*19
a^2+b^2+c^2=64-38=26
Answered by AShrimate
5

{(a + b + c)}^{2}  =  {a}^{2}  +  {b}^{2}  +  {c}^{2}  + 2(ab + bc + ca) \\  {8}^{2}  =  {a}^{2}  +  {b}^{2}  +  {c}^{2}  + 2 \times 19 \\  {a}^{2} + {b}^{2}  +  {c}^{2}  = 64 - 38 = 26 \\
I hope I solved your problem mark me as brainly
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