Geometry · Incircle · Tangent segments · Tangential quadrilateral
A circle is inscribed in triangle \(ABC\), whose sides have lengths \(BC = a\), \(CA = b\) and \(AB = c\). A line tangent to this circle meets the side \(AC\) at the point \(P\) and the side \(BC\) at the point \(Q\). Determine the perimeter of triangle \(PQC\).
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Serbian Municipal Competition 2014, high school grade I, category A, problem 2. Organized by the Mathematical Society of Serbia (DMS). Source