Home Geometry Problems 321-330 Semicircle View or post a solution 
Problem 326. Equilateral triangle, Semicircle, Equal arcs.
Level: High School, SAT Prep, College geometry.

The figure shows an equilateral triangle ABC. D and E are points dividing the semicircle of diameter BC into three equal arcs. Prove that the lines AD and AE divide the side BC into three equal parts.
 

Equilateral triangle and semicircle problem
 

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