if a square + b square + c square =250 and ab+bc+ca=3,find a+b+c

Asked by amikha s | 6th Sep, 2012, 11:40: AM

Expert Answer:

It is known that (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)

 (a + b + c)2 = 250 + 2 × 3 = 250 + 6 = 256

a + b + c = ± = ±16 = 16 or -16

Answered by  | 6th Sep, 2012, 12:15: PM

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