Let ABC be a triangle with AC>AB. Let P be the intersection of BC and the tangent through A around the triangle ABC. Let Q be the point on the straight line AC, so that AQ=AB and A is between C and Q. Let X and Y be the center of BQ and AP. Let R be the point on AP so that AR=BP and R is between A and P. Show that BR=2XY. geometrycircumcircleequal segmentstangent