# Find the maximum side

Geometry Level 4

Let $$I$$ and $$O$$ be the incenter and circumcenter of $$△ABC$$ respectively.. ( $$△ABC$$ is not an equilateral triangle ) And $$AIO^\circ \leq 90^\circ$$ and $$AB=100cm,CA=102cm$$

Find the maximum possible value of side $$BC$$...

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