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problem 5 (elementary) Iranian geometry Olympiad 2017

Posted: Sun Jan 28, 2018 11:03 pm
by abrarfiaz
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

Re: problem 5 (elementary) Iranian geometry Olympiad 2017

Posted: Wed Jan 31, 2018 10:31 am
by jayon_2
Post the problem in some other forum,like AoPS.This forum is dead.

Re: problem 5 (elementary) Iranian geometry Olympiad 2017

Posted: Wed Jan 31, 2018 11:20 am
by M. M. Fahad Joy
Why is this forum dead?

Re: problem 5 (elementary) Iranian geometry Olympiad 2017

Posted: Fri Feb 02, 2018 6:28 pm
by samiul_samin
[img]Here is the official solution.[/img
Screenshot_2018-02-02-18-26-21.png

Re: problem 5 (elementary) Iranian geometry Olympiad 2017

Posted: Wed Apr 11, 2018 10:37 pm
by dwipneel
please follow the board book of class 7.