To find: The reason why the centroid of the
Answer to Problem 43HP
The reason why the centroid of the triangle is its centre of gravity is explained below.
Explanation of Solution
Each median divides the triangle into two smaller triangles of equal area, so the triangle can be balanced along any one of those lines. To balance the triangle on one point, you need to find the point where these three balance lines intersect.
The balancing point for a rectangle is the intersection of the segments connecting the midpoints of the opposite sides, since each segments connecting these midpoints of a pair of opposite sides divides the rectangle into two parts with equal area.
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning