Geometry, Theorems and Problems

Online Math: Geometry Problem 1218: Equilateral Triangles, Midpoints, 60 Degrees, Congruence. Tiled background image: Intihuatana, Machu Picchu. Level: College, High School.

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In the figure below, equilateral triangles ABC1 and A1BC are drawn on the sides of a triangle ABC. If B1, A2, and C2 are the midpoints of AC, BC1, and A1B, respectively, prove that the triangle A2B1C2 is equilateral.
 
 

Geometry Problem 1218: Scalene Triangle, Equilateral Triangles, Midpoints, 60 Degrees, Congruence.
 
 

 

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Last updated: May 26, 2016