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Topic: Very Old Geometry Problem
Replies: 5   Last Post: Nov 14, 2010 10:56 AM

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Sujeet Kumar

Posts: 190
From: Patna
Registered: 10/21/10
Very Old Geometry Problem
Posted: Nov 8, 2010 11:15 AM
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In my previous mail, I had mentioned a paper by Tom Rike
namely "An Intriguing Geometry Problem" dated May 5,2002.
This paper was about following problem-

Let ABC be an isosceles triangle(AB=AC) with angle BAC=20 degree.Point D is on side AC such that angle DBC=
60 degree.Point E is on side AB such that angle ECB=50 degree.Find, with proof, the measure of angle EDB.

Above problem was posed by E.M. Langley and it appeared
in Mathematical Gazette, Volume 11, p. 173.
In this paper , he has mentioned 8 solutions.I have one more.I am posting this problem because so that who has
not come across this problem can have feel of beauty of
this problem and few more solutions can come out.



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