In the plane rectangular coordinate system, point a (0,3), point B (0,2), and point C are on the x-axis. If the area of △ ABC is 15, find the area of point C Find the coordinates of point C

In the plane rectangular coordinate system, point a (0,3), point B (0,2), and point C are on the x-axis. If the area of △ ABC is 15, find the area of point C Find the coordinates of point C

Because point C is on the x-axis, set the coordinate of point C as (x, 0), because point a and B are on the y-axis, point C is on the x-axis, and the x-axis is perpendicular to the y-axis
So the height of triangle ABC is equal to the absolute value of X. because AB = 1, so s = abxh / 2 = 15, we can get the absolute value of x = 30
So point C is (30,0) or (- 30,0)