# Triangle and another triangle

Geometry Level 3

With $$a,b,c$$ are the sides of a scalene triangle, and $$\mu a,\mu b,\mu c$$ are the sides of a similar triangle inscribed in the former triangle.

Denote $$\theta$$ as the angle between the sides $$a$$ and $$\mu a$$. What is the value of $$| 2 \mu \cos \theta |$$?

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