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Russian Mathematical Olympiad

Geometry Difficulty 4.9 AIME Prove it Russia

A convex polygon is dissected into isosceles triangles by several non-intersecting diagonals. Prove that this polygon has two sides of equal lengths.

Solutions — 2

Solution 1

10.7. See problem 9.7.

Solution 2

10.7. См. задачу 9.7.

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