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.

(10,10)

From Bert: Area needed =400 =  40x(Y) therefore Y=10

From Carl: Area needed = 300 = 30*(x) therefore X=10

Posted by neshal on 2004-08-05 09:42:53