The in centre of the triangle with vertices (1,3),(0,0) and (2,0)  is

Let the vertices of the triangle be A(1,3), B (0, 0) and C (2, 0). We observe thatAB=2=BC=ACSo, the triangle is equilateral. Consequently, its incentre coincides with the centroid whose coordinates are.1+0+23,3+0+03=1,13