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Topic: Yet another horrible geometry problem
Replies: 5   Last Post: Dec 3, 2010 10:32 AM

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Sujeet Kumar

Posts: 157
From: Patna
Registered: 10/21/10
Yet another horrible geometry problem
Posted: Nov 28, 2010 10:29 AM
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Here is new one in the series of horrible problems-
Q.In a triangle ABC, with angle ABC=(60-x) degree and angle ACB=30 degree.Point P is taken such
that BP=CP and angle PBC=x degree.Find angle BAP.

Sometimes I fear am I repeating the problems?If some one find it to be so, please inform.
Other than this, if some one have found these type of problems or solutions , in any book or
anywhere, then please do inform me.I don't want to waste my time in reinventing the wheel.As far as
my knowledge goes, other than 3 or 4 problems , rest are original.I used common tehnique in proving
every problem, that works in every problem.If I include trigonometrical solutions, than these
problems are not more than trivial.But any response is encouraging let that be Narsimhan's 2 line
solution. Again , big question remain unanswered, what is PURE GEOMETRICAL SOLUTION.
If with some definition , we can exclude trigonometrical solution, then we can see some wonderful
mathematics.In mathematical gazette , C. Tripp had conjecturd that pure geometrical solution is possible, whenever all angles are ratinal multiples of pi. But he had mentioned he is far from
proving it.But I don't know , what is geometrical solution?How you can differentiate trigonometrical
solution from geometrical solution?I was encouraged , when I knew that I have at least 5 or 6 readers.
Initially I thought, there are only 2 or 3 readers.
I hope , I am making sense whatever I am writing.This time I am expecting some fruitful response.
Though responses are very few, which is little bit discouraging.Philippes's reponse was most

Sicerely , Sujeet

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