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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.

May 1, 2020

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Please do not discuss this problem!  This is an active homework problem.

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.

May 1, 2020