Go Geometry Problem Problem 212. 120 Degree Triangle, Equilateral triangles, Areas

In the figure below, given a triangle ABC of area S, the measure of the angle ABC is 120 degree and ABD, BCE, and ACF are equilateral triangles of areas Sc, Sa, and Sb respectively. Prove that (1) Sb = Sa + Sc + S, and (2) Formula to prove.
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Problem 212 Triangle area, 120 degree


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