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Omni-MATH / Let ABC be a triangle with AB=13,BC=14,CA=15. Let O be the circumcenter of ABC. Find the distance between the circumcenters of triangles AOB and AOC.

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problem

Let ABCA B C be a triangle with AB=13,BC=14,CA=15A B=13, B C=14, C A=15. Let OO be the circumcenter of ABCA B C. Find the distance between the circumcenters of triangles AOBA O B and AOCA O C.
Plain-text mathematical notation (without MathML)
Let ABC be a triangle with AB=13,BC=14,CA=15. Let O be the circumcenter of ABC. Find the distance between the circumcenters of triangles AOB and AOC.
Original LaTeX notation
Let $A B C$ be a triangle with $A B=13, B C=14, C A=15$. Let $O$ be the circumcenter of $A B C$. Find the distance between the circumcenters of triangles $A O B$ and $A O C$.

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