Let triangle ABC have centroid G. D lies on AB such that AD/BD=2/3, and E lieson AC such that AE/CE =4/5. Lines DG and EG intersect BC at points P and Q, respectively. Find PQ/BC.
+1693 Let triangle ABC have centroid G. D lies on AB such that AD/BD=2/3 and E lie on AC such that AE/CE =4/5. Lines DG and EG intersect BC at points P and Q, respectively. Find PQ/BC.
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I used an equilateral triangle and the answer is: PQ / BC = 7 / 12
Here's my work 
