SOLUTION: Let ABC be a triangle with centroid G. Points L, M, and N are the midpoints of sides BC, CA, and AB respectively. Let D be the foot of the altitude from A to BC and let K be the fo
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Question 1150142: Let ABC be a triangle with centroid G. Points L, M, and N are the midpoints of sides BC, CA, and AB respectively. Let D be the foot of the altitude from A to BC and let K be the foot of the altitude from L to MN.
(a) Show that AD/LK=2
(b) Show that triangleADG is similar to triangleLKG
(c) Show that D, G and K are collinear and that DG/GK=2 Answer by ikleyn(52779) (Show Source):
