Suppose you have a given equilateral triangle $ABC$ and a semicircle is constructed on the side $BC$ with $BC$ as diameter, suppose also that points $K$ and $L$ divides the semicircle into three equal arcs, how do I prove that triangle $OLC$ is equilateral? Where $O$ is the centre of the circle.
closed as off-topic by Sahiba Arora, Namaste, Daniel W. Farlow, Claude Leibovici, Trevor Gunn Jul 16 '17 at 4:20
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