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<Tri-2025-2223>

작성자: komath

라벨: bisector, problem, right, triangle

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<Cir-2023-754>, hint B,M,X,C are concyclic <MBC=<XMC=<DAC Similarly <XDC=<XNC=<BEC Hence triangles XMN and YAE are...
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<Tri-2025-2183>, hint Suppose AM cuts the circumcircle of ABC at O and I is incenter of ABC. Since <OBI=<OIB=<OCI, O is the c...
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<Tri-2025-2183>, isosceles, angle <Romania TST 2021>
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<Solid-2025-257>, hint Let O be the center of circumscribed sphere of ABCD, and let vectors OA=a, OB=b, OC=c, OD=d. P=t(a+c)/2+(1-t)(b...
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<Tri-2023-2062>, hint
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<Tri-2023-2079>, hint Radical axis theorem
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<Tri-2024-2151>, hint Since DE is bisector of <BEC BE/EC=BD/DC and BF=BE AF=CE. BF/FA=BD/DC ---> FD//AC ---> <FDE=<C...
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<Tri-2025-2185>, hint Suppose incircle of ABC touches BC, CA, AB at D,E,F respectively Consider trianges IDP, IEN, IFM which are cong...
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