Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 7 - Section 7.2 - Concurrence of Lines - Exercises - Page 325: 11

Answer

To locate the centroid of a triangle, it is not necessary to construct all three medians of a triangle. To find the centroid of a triangle, it is sufficient to construct two medians. The point where any two medians of a triangle intersect is the centroid of the triangle.

Work Step by Step

To locate the centroid of a triangle, it is not necessary to construct all three medians of a triangle. A median is a line from a vertex of a triangle to the midpoint of the opposite side. The centroid of a triangle is the point where the three medians of the triangle intersect. To find the centroid of a triangle, it is sufficient to construct two medians. The point where any two medians of a triangle intersect is the centroid of the triangle.
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