In the plane rectangular coordinate system, the point P of a (0,1) B (2,0) C (4,3) is known to be on the coordinate axis, and the area of triangle ABP and ABC is equal

In the plane rectangular coordinate system, the point P of a (0,1) B (2,0) C (4,3) is known to be on the coordinate axis, and the area of triangle ABP and ABC is equal


S triangle ABC = 4, P at Y-axis point P (0, - 3), P (O, 5), P at X-axis point P (- 6,0), P (10,0)



The midpoint a (- 2,2), B (3,2), C in the plane rectangular coordinate system are the points on the coordinate axis. Given that the triangle ABC is a right triangle, find the coordinates of C


It can be assumed that the coordinate of C is (x, 0), and the length of each side of the triangle can be calculated if the sum of squares of the two sides of the right triangle is equal to the square of the third time. Similarly, the case of C (0, y) can be obtained