Equal segments AK, BL, CM are plotted on the sides of an equilateral triangle ABC. Prove that triangle KLM is equilateral.
| August 28, 2021 | education
Triangles AKM, CML and BKL are equal, since the angles in an equilateral triangle are equal, AK = BL = CM; AM = CL = BK;
Hence KL = KM = LM, that is, the triangle KLM is equilateral;
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