Write a Python function CircumscribeTriangle(a, b, c) that takes as input the coordinates of three points...
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Write a Python function CircumscribeTriangle(a, b, c) that takes as input the coordinates of three points in the plane, plots the triangle connecting them, and draws the circumscribing circle. The center of the circumscribing circle is the intersection of the perpendicular bisectors to the sides. Therefore, it can be computed as follows: • Find the midpoint x of side ab. Find the midpoint y of side bc. • Find the line L through x perpendicular to ab. • Find the line M through y perpendicular to bc. • Find the intersection o of L with M. ● • Let r be the distance from o to a. Then the circle centered at o of radius r is the circum- scribing circle. Write a Python function CircumscribeTriangle(a, b, c) that takes as input the coordinates of three points in the plane, plots the triangle connecting them, and draws the circumscribing circle. The center of the circumscribing circle is the intersection of the perpendicular bisectors to the sides. Therefore, it can be computed as follows: • Find the midpoint x of side ab. Find the midpoint y of side bc. • Find the line L through x perpendicular to ab. • Find the line M through y perpendicular to bc. • Find the intersection o of L with M. ● • Let r be the distance from o to a. Then the circle centered at o of radius r is the circum- scribing circle.
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import matplotlibpyplot as plt import numpy as np def midpointp1 p2 return p10 p20 2 p11 p21 2 def p... View the full answer
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