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A Parallelogram Puzzle (Posted on 2007-05-01) Difficulty: 2 of 5
Consider the parallelogram PQRS with PS parallel to QR and PQ parallel to SR. The bisector of the angle PQR intersects PS at T.

Determine PQ, given that TS = 5, QT = 6 and RT = 6.

See The Solution Submitted by K Sengupta    
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re: Harder solution Comment 5 of 5 |

x = 5 would not make PSRQ a rectangle since (5,5,6) is not a pythagorean triple.

x = 5 must be rejected because 5/6 is not equal to 6/10 (contradicting triangle QPT similar to triangle QTR).


  Posted by Dennis on 2007-05-01 21:39:09
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