Math, asked by saikrishnak, 1 year ago

answer this questiion pls

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Answered by kalyani164
1

  (a + b + c) = {9}^{2}  \\ {a}^{2}  +  {b}^{2}  +  {c}^{2}  + 2(ab + bc + ca) =  {9}^{2}  \\  {a }^{2}  +  {b}^{2}  +  {c}^{?}  + 2 \times 26 = 81 \\  {a}^{2}  +  {b}^{2}  +  {c}^{2}  = 81 - 52 \\  {a}^{2}  +  {b}^{2}  +  {c}^{2}  = 29

saikrishnak: thx
kalyani164: welcome
Answered by 11439
0

Answer:

29

Step-by-step explanation:

Given, a+b+c=9 and ab+bc+ca=26.

We know, (a+b+c)2=a2+b2+c2+2ab+2bc+2ca

⇒(a+b+c)2=a2+b2+c2+2(ab+bc+ca).

Putting the values here, we get,

(9)2=a2+b2+c2+2(26)

⇒81=a2+b2+c2+52

⇒a2+b2+c2=81−52=29.

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