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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.
#TriangleSurprise! When we build equilateral triangles off 2 sides of ANY TRIANGLE, another equilateral triangle surprisingly emerges! 😮 Why does this occur? 🤔Source: @gogeometry. Created with @geogebra: https://t.co/lTfrId4Hik. #geometry #math #MTBoS #ITeachMath #maths #EdTech pic.twitter.com/CUeFSPKsYy— Tim Brzezinski (@Brzezinski_Math) August 16, 2019
#TriangleSurprise! When we build equilateral triangles off 2 sides of ANY TRIANGLE, another equilateral triangle surprisingly emerges! 😮 Why does this occur? 🤔Source: @gogeometry. Created with @geogebra: https://t.co/lTfrId4Hik. #geometry #math #MTBoS #ITeachMath #maths #EdTech pic.twitter.com/CUeFSPKsYy
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Post or view a solution to the problem 1218 Last updated: May 26, 2016