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Question # 7

If G is the centroid of a triangle ABC and O is any other point, then prove that :

OA2 + OB2 + OC2 = GA2 + GB2 + GC2 + 3 GO2

Asked by miniprasad | 20th Oct, 2018, 05:10: PM

Expert Answer:

Take any point as O(x,y), G (0,0) as the origin, A(a,b) and B(c, d) and  C(e,f)

apply distance formula and find OA, OB, OC, GA, GB, GC and sub them in LHS and RHS you will get both equal.

 

Answered by Arun | 24th Oct, 2018, 10:33: AM

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