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Trigo-2007-45, incenter

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작성자: komath

라벨: problem, relation, triangle, Trigonometry

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<Solid-2025-261 >, hint Let P on AB, Q on BC, R on,CD, S on DA such that PQRS is a rhombus. For PS//QR, PQ//SR, AP/PB=x/(1-x), ...
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<Tri-2025-2225>, hint On line BC, MD extended intersect line BC at E. Draw a line , parallel to MDE, cutting line BCE at F. Triangles ...
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<Solid-2025-258>, hint Since MN is perpendicular to AB, CD, Triangle NBA , MDC are isosceles , and so NA=NB, MC=MD. Triangles CBD , CA...
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<Tri-2025-2217>, hint Consider Simson Line. Suppose M on arc AC and let N'. P', Q' be the projections of M onto lines AB, ...
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<Solid-2024-248>, hint Suppose TB=TC, isosceles, and <CTD=90, CTD is right triangle and TT' is height of TABCD, O is center of...
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<Tri-2024-2092?>. hint 1> L,M,N are centroids of triangles PBC, PCA, PAB [PELF]=[PEL]+[PFL]=1/3 [PBC] 2. Suppose PL,PM,PN cut sid...
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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-2024-2143>, hint Let PK extended cut line BN in L', AK extended meet BL' in N, <BNK=90. Since ABPK are concyclic...
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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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