RU-ALLRUSSIAN 1983 Problem 14
- Answer
A point is chosen on each of the three sides of a triangle and joined to the opposite vertex. The resulting lines divide the triangle into four triangles and three quadrilaterals. The four triangles all have area A. Show that the three quadrilaterals have equal area. What is it (in terms of A)?
Dataset text NuminaMath olympiads. Quoted with source.
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3A
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