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skillszone | 12:57 Mon 22nd May 2006 | Quizzes & Puzzles
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ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE
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skillszone You will need to provide more information as to the distance between the parallel sides AB and EC.


Taking this distance to be 12 (say), then AE = 13.

I make it 10


Dropping a perpendicular down from A to meet EC at Y then AYE and CYA are similar triangles.


EY is 5 (symmetry of ABCE) so AE:EC = EY:AE


AEsquared = 20 x 5


AE = 10

Well done ringer. Spot on! I didn't even have the diagram drawn correctly! :-(

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