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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