(a) Show that the triangle with vertices A(6, 27), B(11, -3), and C(2, -2) is a right...

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(a) Show that the triangle with vertices A(6, 27), B(11, -3), and C(2, -2) is a right triangle using the converse of the Pythagorean Theorem.
(b) Use slopes to show that ABC is a right triangle.
(c) Find the area of the triangle.

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