CBSE Class 10 Answered
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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 | 20 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 | 24 Oct, 2018, 10:33: AM
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