Right triangle ABC is shown below. On a coordinate plane, a line goes through (negative 1, 0) and (0, 3). A triangle has a rise of 3 and run of 1. A similar right triangle would be created by a run of 4 and a rise of

12

Step-by-step explanation:

Similar triangles on a coordinate plane will have rise and run that are proportional to each other. In other words, the ratio between the rise of a right triangle to the rise of another similar triangle equals the ratio between the run of a right triangle to the run of another similar right triangle.

Thus:

The right triangle given in the coordinate plane has the following:

Run = 1

Rise = 3

The run of a similar right triangle to be created = 4

The rise would be x

To find x, we would have the following proportion:

1/4 = 3/x

Cross multiply

1*x = 3*4

x = 12

Therefore, the similar right triangle created would have a rise of 12