   Chapter 7.2, Problem 11E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

To locate the centroid of a triangle, is it necessary to construct all three medians?

To determine

To find:

To locate the centroid, is it necessary to construct all three medians.

Explanation

Definition:

Centroid:

A centriod of a triangle is the point where the three medians of the triangle meet. A median of triangle is a lined segment from one vertex to the midpoint on the opposite of the triangle.

Given:

To locate the centroid, is it necessary to construct all three medians.

Calculation:

By the above definition,

The point of concurrence for the three medians of a triangle is known as centroid of the triangle.

The three medians all intersect at the same point so we only need two medians to locate it.

For example:

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