Point P is taken on the extension of side AB of an equilateral triangle ABC so that A is between B and P. Denote by a the side length of triangle ABC, by r1 the inradius of triangle PAC, and by r2 the exradius of triangle PBC opposite P. Find the sum r1+r2 as a function in a. geometryinradiusEquilateral TriangleEquilateralincircle