Find the lengths of the medians of a ΔABC whose vertices are A(-1, 3), B(1, -1) and C(5, 1). Also, find the co-ordinates of the centroid of ΔABC.
Section Formula
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Question

Find the lengths of the medians of a ΔABC whose vertices are A(-1, 3), B(1, -1) and C(5, 1). Also, find the co-ordinates of the centroid of ΔABC.

KnowledgeBoat · Accepted Answer

Using the Midpoint Formula, . Let D be the midpoint of BC. Let E be the midpoint of AC. Let F be the midpoint of AB. Length of Median AD : A(-1, 3) and D(3, 0) Using Distance Formula, . Substituting values we get: Length of Median BE: B(1, -1) and E(2, 2) Length of Median CF: C(5, 1) and F(0, 1) Centroid of triangle (G) Substituting values we get : Hence, AD = 5 units , units, CF = 5 units, coordinates of centroid are .

Mathematics

Find the lengths of the medians of a ΔABC whose vertices are A(-1, 3), B(1, -1) and C(5, 1). Also, find the co-ordinates of the centroid of ΔABC.

Section Formula

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