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Write a program that will allow the user to input the corners of a triangle. The program will draw small yellow circles for each input point, then draw the triangle and calculate the perimeter and area of the triangle. The program will also draw the "mirror image" of the triangle, formed by swapping the x and y coordinates of each point. This is sometimes called the "reflection" of an object.
These actions will then be repeated 4 more times for triangles in different colors.
The equation for the perimeter is length of each of the three sides added together. Use the distance formula from Program 1 (it was used for finding the radius there).
The area of a triangle can be calculated using these equations (a, b and c are the lengths of the three sides of the triangle):
The program should report the perimeter and area of each triangle and its reflection. It should also keep a total of each of those 2 measures and report the total when the program is about to end. The totals should include all triangles, including reflections. Note that the output samples also show a counter "Triangle 1", "Triangle 2", etc.
The list of colors it should use for triangles is ["red", "blue", "green", "pink", "black"].
1. Write the dual of the above max-?ow problem. 2. Solve both problems with AMPL, and for each print the values of the vari- ables and the values of the dual variables (if a p
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