2019 CIME I Problems/Problem 14

Let $ABC$ be a triangle with circumcenter $O$ and incenter $I$ such that the lengths of the three segments $AB$, $BC$, and $CA$ form an increasing arithmetic progression in this order. If $AO=60$ and $AI=58$, then the distance from $A$ to $BC$ can be expressed as $\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.

Solution

We don't know yet.

See also

2019 CIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 13
Followed by
Problem 15
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All CIME Problems and Solutions

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