On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 20. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C? Select the correct option:
A) (8, -3) B) (4, 5) C) (-5, 7) D) (-2, -20) E) (-15, -3)
The area of the triangle formed will be:   1/2 * base * height =   1/2 * |(X-coordinate of point C)| * |(Y-coordinate of point C)| = 20   Thus |product of coordinates of point C| = 40   The answer is (-2, -20).
<result>D</result>
On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 20. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C?