If a²+b²+c²=200and a+b+c=24 find ab+bc+ca.
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a^2+b^2+c^2=200
a+b+c=24
ab+bc+ca=?
(a+b+c)^2=(24)^2
=> a^2+b^2+c^2+2(ab+bc+ca)=576
=> 200+2(ab+bc+ca)=576
=> 2(ab+bc+ca)=576-200
=> 2(ab+bc+ca)=376
=> ab+bc+ca=376/2
=> ab+bc+ca=188
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