Edit Problem

Problem Description Let \(\overline{CH}\) be an altitude of \(\triangle ABC\). Let \(R\) and \(S\) be the points where the circles inscribed in the triangles \(ACH\) and \(BCH\) are tangent to \(\overline{CH}\). If \(AB = 1995\), \(AC = 1994\), and \(BC = 1993\), then \(RS\) can be expressed as \(m/n\), where \(m\) and \(n\) are relatively prime integers. Find \(m + n\)

Diagram (TikZ Code)

Solution 997

Tags

Difficulty

Source