Cerc si arii egale

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Filip Chindea
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Joined: Thu Sep 27, 2007 9:01 pm
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Cerc si arii egale

Post by Filip Chindea »

In triunghiul \( ABC \), bisectoarea lui \( C \) intercepteaza cercul circumscris, mediatoarele \( [BC] \) si \( [AC] \) in \( R, P, Q \), respectiv. Aratati ca \( [RQT] = [RPS] \).

[ IMO 2007/4, Shortlist G1 ]
Life is complex: it has real and imaginary components.
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