Given that point a (0, - 3), B (0,5)), point C is on the x-axis, and the area of triangle ABC is 20, find the coordinates of point C

Given that point a (0, - 3), B (0,5)), point C is on the x-axis, and the area of triangle ABC is 20, find the coordinates of point C

From the topic and the coordinate diagram, we can see that the C point of the triangle ABC is on the X axis, the height of the BC side is 3, and the area of the triangle ABC is 20, so BC = 20 × 2 △ 3 = 40 / 3
The distance between B and C is 40 / 3
Suppose C point (m, 0)
Combined with the meaning of the title, we can find M = 55 / 3 or - 25 / 3
C (55 / 3,0) or C (- 25 / 3,0)

1. In the plane rectangular coordinate system, a (1,0), B (5,0), point C is on the Y axis, and s △ ABC = 4, find the coordinates of point C
2. In the plane rectangular coordinate system, P (1,4), on the coordinate axis of point a, s △ Pao = 4, find the coordinate of point C

1, let C (0, b) ∵ a (1,0), B (5,0), ∫ AB = 4, OC = Ibis △ ABC = 1 / 2Ab * OC = 1 / 2 × 4 × IBI = 4ibi = 2 ∫ B = ± 2, that is, C (0,2) or (0. - 2) 2. When a is on the x-axis, let a (a, 0) s △ OPA = 1 / 2iai × 4 = 4iai = 2 ∫ a = ± 2, that is, a (2,0) or (- 2,0) when a is on the y-axis, let a (0, B) s △ OPA = 1 /

In the plane rectangular coordinate system, given that point a (- 5,0), point B (3,0), point C is on the Y axis, and s △ ABC = 12, try to find the coordinates of point C

（0,3）、（0,-3）