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Equilateral Triangle inside Equilateral Triangles.

Source: ISI 2021 P6

July 18, 2021
Trianglesgeometry

Problem Statement

If a given equilateral triangle Δ\Delta of side length aa lies in the union of five equilateral triangles of side length bb, show that there exist four equilateral triangles of side length bb whose union contains Δ\Delta.
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