Geometry classes, Problem 243. Triangle with Equilateral triangles, Rhombuses, Parallelograms. Elearning.

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