# Yeah Geometry Rocks

Geometry Level 3

A point inside an equilateral triangle with side 1 is at distance $$a, b, c$$ from the vertices.

Construct a triangle ABC with side lengths $$BC = a, CA = b, AB = c$$.

Let D be a point in ABC such that $$\angle ADB = \angle BDC = \angle CDA =120^\circ$$.

Find $$DA+DB+DC$$.

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