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# Help With Geometry!

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Thanks!

Sep 22, 2019

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Triangle $$ABC$$ is acute. Point $$D$$ lies on $$\overline {AC}$$ so that $$\overline {BD}\perp \overline {AC}$$,
and point $$E$$ lies on $$\overline {AB}$$ such that $$\overline {CE}\perp\overline {AB}$$.
The intersection of segments $$\overline {CE}$$ and $$\overline {BD}$$is $$P$$.
Find the value of $$\overline{AE}$$ if $$\overline{CP}=10$$, $$\overline{PE}=20$$, and $$\overline{EB}=30$$.

Sep 23, 2019