Concept explainers
(a) Prove that the midpoint of the line segment from P1(x1, y1, z1) to P2(x2, y2, z2) is
(b) Find the lengths of the medians of the triangle with vertices A(1, 2, 3), B(−2, 0, 5), and C(4, 1, 5). (A median of a triangle is a line segment that joins a vertex to the midpoint of the opposite side.)
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