MathDB
Spring 2020 Team Round Problem 17

Source:

August 22, 2020

Problem Statement

Let ABCABC be a triangle such that AB=26,AC=30,AB = 26, AC = 30, and BC=28BC = 28. Let C′C' and B′B' be the reflections of the circumcenter OO over ABAB and ACAC, respectively. The length of the portion of line segment B′C′B'C' inside triangle ABCABC can be written as pq\frac{p}{q}, where p,qp,q are relatively prime positive integers. Compute p+qp+q.
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