problem 5 (elementary) Iranian geometry Olympiad 2017

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abrarfiaz
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problem 5 (elementary) Iranian geometry Olympiad 2017

Unread post by abrarfiaz » Sun Jan 28, 2018 11:03 pm

In the isosceles triangle ABC (AB = AC), let l be a line parallel to BC through A. Let D be an arbitrary point on l. Let E, F be the feet of perpendiculars through A to BD, CD respectively. Suppose that P, Q are the images of E, F on l. Prove that AP + AQ ≤ AB.


please help me solving the problem
"God made the integers; all else is the work of man."

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jayon_2
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Re: problem 5 (elementary) Iranian geometry Olympiad 2017

Unread post by jayon_2 » Wed Jan 31, 2018 10:31 am

Post the problem in some other forum,like AoPS.This forum is dead.

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M. M. Fahad Joy
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Re: problem 5 (elementary) Iranian geometry Olympiad 2017

Unread post by M. M. Fahad Joy » Wed Jan 31, 2018 11:20 am

Why is this forum dead?

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samiul_samin
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Re: problem 5 (elementary) Iranian geometry Olympiad 2017

Unread post by samiul_samin » Fri Feb 02, 2018 6:28 pm

[img]Here is the official solution.[/img
Screenshot_2018-02-02-18-26-21.png

dwipneel
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Re: problem 5 (elementary) Iranian geometry Olympiad 2017

Unread post by dwipneel » Wed Apr 11, 2018 10:37 pm

please follow the board book of class 7.

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