Question

If a² +b²+c² = 100 and a+b+c = 25 then find the value of ab+bc+ca.
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Answer 1

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Answer 2

Step-by-step explanation:

Answer

Formula,

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

⇒(a+b+c)2=a2+b2+c2+2(ab+bc+ca)

Given,

ab+bc+ca=10,a2+b2+c2=16

⇒(a+b+c)2=16+2(10)

a+b+c=16+20=6

ANSWER VERIFIED

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