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Acute Ascertainment (Posted on 2015-04-18) Difficulty: 3 of 5
An acute-angled triangle PQR is inscribed in a circle with centre O.

S is the intersection of the bisector of P with QR
the perpendicular to PO through S meets the line PR in a point W interior to the segment PR.

Find PQ/PW

***Source: A problem appearing in the Italian Mathematical Olympiad, 1995

No Solution Yet Submitted by K Sengupta    
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re(2): Solution Comment 3 of 3 |
(In reply to re: Solution by Bractals)

Yeah I was going to point that out.  With GSP it didn't seem to matter, so I didn't bother worrying about the size of the angles or where W ends up in the proof.

  Posted by Jer on 2015-04-19 21:15:20

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