All in one

Geometry Level 3

G is the centriod , H is the orthocentre and P is the circumcentre of A B C \triangle ABC .

Then HG : GP = x : y x : y

Find x y x - y .

This problem is a part of the sets - 3's & 4's & " G " for geometry .


The answer is 1.

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1 solution

Sailendra Tankala
Mar 23, 2015

Triangles AHG and DPG are similar. So HG:GP = AG:GD = 2:1 Therefore x= 2 and y = 1 x-y = 1

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