Center of Mass. (a) Prove that each median of a triangle divides the triangle into two subtriangles of equal area. (b) Use the result from (a) to explain why the centroid is the center of mass of the triangle. In other words, explain why a triangle made of a rigid, uniformly dense material would balance at the centroid.

Center of Mass. (a) Prove that each median of a triangle divides the triangle into two subtriangles of equal area. (b) Use the result from (a) to explain why the centroid is the center of mass of the triangle. In other words, explain why a triangle made of a rigid, uniformly dense material would balance at the centroid.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter7: Locus And Concurrence

Section7.2: Concurrence Of Lines

Problem 7E: Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a...

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