In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C?
Angle (CAD) = 45º Ratio AD : BD is 5 : 3
AB = 8 / sin(45º) = 8√2 AD = 5√2 BD = 3√2
AC = CD = sin(45º) * 5√2
C = (2,-1)