if a²+ b²+ c²=34 and ab+bc+ca =15 find a+b+c
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Answered by
0
Answer:
(a+b+c)
2
=a
2
+b
2
+c
2
+2ab+2bc+2ca
⇒(a+b+c)
2
=a
2
+b
2
+c
2
+2(ab+bc+ca)
Given,
ab+bc+ca=10,a
2
+b
2
+c
2
=16
⇒(a+b+c)
2
=16+2(10)
a+b+c=
16+20
=6
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2
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