if a²+b²+c²=125 and ab+bc+can=50, find a+b+c
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Answer:
a²+b²+c²=125
Formula: (a+b+c)²= a²+b²+c²+2(ab+bc+ca)
(a+b+c)²-2(ab+bc+ca)=125
(a+b+c)²-2(50)=125
a+b+c=√225
a+b+c=15
Answered by
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Given a²+b²+c²=125 and ab+bc+ca=50
(a+b+c)²= a²+b²+c² + 2(ab+bc+ca)
(a+b+c)² = 125 + 2(50) = 125 +100 = 225
(a+b+c) = 15
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