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Sharing a Plot (Posted on 2004-08-05) Difficulty: 2 of 5
Alex, Bert and Carl contributed $250, $200 and $150 respectively toward the purchase of a triangular plot. They'd like to divide the land into three smaller triangles such that the ratios of the areas are 5:4:3 (the ratio that they paid).

Alex wants to own the longest side, Bert the second longest, and Carl the shortest. Their three triangles meet at a shared central point.

Given that the vertices of the triangle lie at (0,0), (0,30), and (40,0). Find the coordinates of that point.

See The Solution Submitted by Brian Smith    
Rating: 2.8000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
answer Comment 4 of 4 |
The required coordinates are (10,10).
  Posted by K Sengupta on 2007-11-16 04:50:55
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