# Thales' Triangle

Geometry Level 3

Given a triangle $$ABC$$, consider the bisector of $$\measuredangle A$$ which intersects $$BC$$ at the point $$D$$.

If $$CD + AC = 12\text{ cm}$$ and $$CD = \dfrac{BC}{3}$$, What is the perimeter of the triangle (in $$\text{cm}$$)?

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