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Let \(ABCD\) be a trapezoid with bases \(\overline{AB}\) and \(\overline{CD}.\) Let \(AD=5\) and \(BC=7\) and let \(P\) be a point on side \(\overline{CD}\) such that \(\frac{CP}{PD}=\frac{7}{5}.\) Let \(X,Y\) be the feet of the altitudes from \(P\) to \(\overline{AD},\)\(\overline{BC}\)  respectively. Show that \(PX=PY.\)
 

 Feb 20, 2020
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Please do not discuss this problem!  This is an active homework problem.

 

To the original poster: I realize that homework may be challenging. If you wish to receive some help from the staff or other students, I encourage you to use the resources that the online classes provide, such as the Message Board.  Thanks.

 Apr 16, 2020

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