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Junior Mathematical Olympiad

Netherlands geometry

Problem

Given is the triangle . A line from point intersects the side in . Parallel to we draw four lines such that they divide and in five equal parts. From the ten pieces in which the triangle is divided, the two dotted ones have the same area. Also, the area of the grey triangle at the bottom left next to is . What is the area of the grey quadrilateral at the upper right next to ?

problem


A) B) C) D) E)
Solution
B)
Final answer
B

Techniques

HomothetyTriangles