A is the point (-4, 0) and B is the point (2, 3), M is the midpoint

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A is the point (-4, 0) and B is the point (2, 3), M is the midpoint of the line AB.

Point C is such that

a. Find the coordinates of M and C.

b. Show that CM is perpendicular to AB.

c. Find the area of triangle ABC.

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