if a+b+c=12 and a^2+b^2+c^2=50 find ab+bc+ca
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ab+bc+ca=47
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(a+b+c)^2 = a^2 + b^2 + c^2 +2ab + 2bc + 2ac
(15)^2 = 50 + 2 ( ab + bc + ac)
225 - 50 = 2 ( ab + bc + ac)
175/2 = ( ab + bc + ac)
( ab + bc + ac) = 87.5
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