Question

If a+b+c=12 and a^2+b^2+c^2=50
Find ab+bc+ca​

Answer 1

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Answer 2

a + b + c = 12

a^2 + b^2 + c^2 = 50,

(a + b + c)^2 = (12)^2

a^2 + b^2 + c^2 + 2ab + 2bc +2ca = 144

50 + 2(ab + bc + ca) = 144

2(ab + bc + ca) = 144 - 50

2(ab + bc + ca) = 94

ab + bc + ca = 94 / 2

therefore, ab + bc + ca = 47.

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