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

## problem 5 (elementary) Iranian geometry Olympiad 2017

### problem 5 (elementary) Iranian geometry Olympiad 2017

"God made the integers; all else is the work of man."

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

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

- M. M. Fahad Joy
**Posts:**120**Joined:**Sun Jan 28, 2018 11:43 pm**Location:**Bhulta, Rupganj, Narayanganj-
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### Re: problem 5 (elementary) Iranian geometry Olympiad 2017

Why is this forum dead?

- samiul_samin
**Posts:**1007**Joined:**Sat Dec 09, 2017 1:32 pm

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

[img]Here is the official solution.[/img

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

please follow the board book of class 7.