If a (- 2,0) and B (- 4,5) are known in the plane rectangular coordinate system, find a point C on the x-axis, so that the triangle ABC = 6

If a (- 2,0) and B (- 4,5) are known in the plane rectangular coordinate system, find a point C on the x-axis, so that the triangle ABC = 6


Let the X coordinate of C be x, then point C is the triangle area of C (x, 0): multiply the height by the bottom and divide by 2, then | AC | * 5 / 2 = 6,
The solution is (x + 2) = 12 / 5 or - (x + 2) = 12 / 5
The solution is x = 2 / 5 or x = - 22 / 5,
C (2 / 5,0) or C (- 22 / 5,0)