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Mathematics, 08.03.2021 23:50 sallabar2496

A large equilateral triangle has sides 1m and a smaller equilateral triangle has sides x m, 0≤x≤1. They are positioned as pictured so that the top side of the large triangle and the bottom side of the small triangle is parallel. Find the length x that maximizes the area of the intersection of the two triangles.

A large equilateral triangle has sides 1m and a smaller equilateral triangle has sides x m, 0≤x≤1.

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