MathDB
equilateral wanted, 2 equilaterals on sides of # 1985 Kyiv City MO 9.5

Source:

July 15, 2021
geometryparallelogramEquilateral

Problem Statement

Outside the parallelogram ABCDABCD on its sides ABAB and BCBC are constructed equilateral triangles ABKABK, and BCMBCM. Prove that the triangle KMDKMD is equilateral.