Asked by InfaRed

In triangle ABC, AB = 3, AC = 5, and BC = 4. The medians AD, BE, and CF of triangle ABC intersect at the centroid G. Let the projections of G onto BC, AC, and AB be P, Q, and R, respectively. Find GP + GQ + GR.
Answered by Steve
since the centroid is 2/3 of the way from each vertex to the opposite side, the projections on the sides are 2/3 the length of the sides.

Their sum is thus 2/3 of the perimeter of ABC = 8
Answered by InfaRed
8 isn't correct.
Answered by Steve
You are correct. I calculated using 2/3 of the projection of the median, which is wrong.

I'll think on it some more. You do the same...
Answered by Steve
It's 16.
Answered by InfaRed
16 is correct. Thanks!
Answered by ......
no it is not correct
Answered by ......
it is not 16
Answered by ......
the answer is 47/15
Answered by wow cheaters
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