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B. 4798. In a cyclic quadrilateral $\displaystyle ABCD$, diagonals $\displaystyle AC$ and $\displaystyle BD$ are perpendicular, and the centre of the circumscribed circle is $\displaystyle K$. Prove that the areas of triangles $\displaystyle ABK$ and $\displaystyle CDK$ are equal.

(4 points)

Deadline expired on 10 June 2016.

Statistics on problem B. 4798.
 104 students sent a solution. 4 points: 101 students. 3 points: 1 student. 2 points: 1 student. 0 point: 1 student.

• Problems in Mathematics of KöMaL, May 2016

•  Támogatóink: Morgan Stanley