Show and describe why (or formally prove if you prefer) the three medians of a triangle are concurrent and the centroid is 2/3 the distance from a vertex to the midpoint of the opposite side. The centroid is sometimes portrayed as the "center of mass" or "center of gravity" of the triangle. What does this mean? How can this idea be developed? The medians divide the triangle into six small triangles. Show that these triangles all have the same area.

Show and describe why (or formally prove if you prefer) the three medians of a triangle are concurrent and the centroid is 2/3 the distance from a vertex to the midpoint of the opposite side. The centroid is sometimes portrayed as the "center of mass" or "center of gravity" of the triangle. What does this mean? How can this idea be developed? The medians divide the triangle into six small triangles. Show that these triangles all have the same area.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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