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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
and
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: Solution | Comment 2 of 3 |
(In reply to Solution by Jer)

If we drop the restriction that triangle PQR is acute and 

the restriction that point W is interior to segment PR,
how does this affect your proof?

  Posted by Bractals on 2015-04-19 11:55:17
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