MathDB

11.8

Part of II Soros Olympiad 1995 - 96 (Russia)

Problems(1)

AC/BD , [ABC]=[CDA], [BCD] = k [DAB], 2 angle bisectors intersect on diagonal

Source: II Soros Olympiad 1995-96 R1 11.8 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics

6/3/2024
The following is known about the quadrilateral ABCDABCD: triangles ABCABC and CDACDA are equal in area, the area of triangle BCDBCD is kk times greater than the area of triangle DABDAB, the bisectors of angles ABCABC and CDACDA intersect on the diagonal ACAC, straight lines ACAC and BDBD are not perpendicular. Find the ratio AC/BDAC/BD.
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