Consider the triangle with vertices P(2, 0, -3), Q(5, -2, 1), and R(7, 5, 3). (a) Show

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Consider the triangle with vertices P(2, 0, -3), Q(5, -2, 1), and R(7, 5, 3).
(a) Show that it is a right-angled triangle.
(b) Find the lengths of the three sides and verify the pythagorean theorem.
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