SOLUTION: .Trapezoid ABCD has parallel sides AB and CD, of lengths 12 and 18, respectively. Diagonals AC and BD intersect at E. Draw the line through E that is parallel to AB and CD, and let

Question 1158187: .Trapezoid ABCD has parallel sides AB and CD, of lengths 12 and 18, respectively. Diagonals AC and BD intersect at E. Draw the line through E that is parallel to AB and CD, and let P and Q be its intersections with DA and BC, respectively. Find PQ.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Triangles ABE and CDE are similar, with a ratio 12:18 = 2:3.

That means segment PQ is 3/5 of the way from CD to AB; that makes the length of PQ

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