A Side Fraction Identity

Problem

The sides a,b,ca, b, c of △ABC\triangle ABC (opposite A,B,CA, B, C) satisfy

c2a+b+a2b+c=b.\frac{c^2}{a+b} + \frac{a^2}{b+c} = b.

Find BB.

Answer

Solution

Difficulty6/10
Topicstrigonometry, Law of Cosines, Triangle Geometry

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