The triangle between points A and B has a vertical heigh of 5 and a horizontal length of 3. The triangle between points B and C has a vertical height of 10 and a horizontal length of 6, as shown on the graph below.
Unfortunately, there is no graph provided in the question. However, we can still find some information based on the given data.
Let's assume that point A is at the bottom left corner of the triangle, point B is at the bottom right corner, and point C is at the top right corner.
Since the triangle between points A and B has a vertical height of 5 and a horizontal length of 3, we can determine that the slope of the line connecting points A and B is 5/3.
Similarly, we can assume that the slope of the line connecting points B and C is 10/6, which simplifies to 5/3. Since this matches the slope of the line between points A and B, we can conclude that points A, B, and C are collinear, meaning they lie on the same straight line.
However, without the actual graph, it is not possible to determine the exact positions of points A, B, and C on the coordinate plane.