A geometry problem by Akshat Sharda

Geometry Level 4

A triangle of side 8,8 and 4 has a angle bisector to side of length 8. Find the length of the angle bisector.

If your answer comes as \(\frac{a\sqrt{b}}{c}\) with \(b\) square-free, submit your answer as the minimum value of \(a+b+c\).

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