As shown in the figure, a (1,0) B (4,0), point C is on the positive half axis of Y axis. If the area of angle ABC is 6, find the coordinates of point C

As shown in the figure, a (1,0) B (4,0), point C is on the positive half axis of Y axis. If the area of angle ABC is 6, find the coordinates of point C

The ordinate of point C is the height of the triangle
The ordinate of C = 6 * 2 / (4-1) = 4
C(0,4)