   Chapter 7.2, Problem 11E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# 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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