1966 IMO Problems/Problem 6

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Problem

In the interior of sides $BC, CA, AB$ of triangle $ABC$, any points $K, L,M$, respectively, are selected. Prove that the area of at least one of the triangles $AML, BKM, CLK$ is less than or equal to one quarter of the area of triangle $ABC$.

Solution

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See also

1966 IMO (Problems) • Resources
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Problem 5
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