Geometry, Theorems and Problems

 Problem 243. Triangle with Equilateral triangles, Rhombuses, Parallelograms

In the figure, equilateral triangles ABC', ABC", BCA', BCA", ACB', and ACB" are constructed on the sides of a triangle ABC. Prove that (1) A'BA"C, AB'CB", and AC'BC" are rhombuses and (2)A'BC'B", A'CB'C",AB'A"C', A"CB"C', AB"A'C", and A"BC"B' are parallelograms. View or post a solution.

Triangle with equilateral triangles, parallelogram

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