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

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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) About Me  (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

%283%2F5%29%2812%29%2B%282%2F5%29%2818%29+=+72%2F5+=+14.4