The x -coordinates of the center of mass is 1/M∫(x)dm
We take a strip of width dx and place it at a distance of x from the triangle's vertex in order to find the triangle's center of mass. Similar triangles can be used to gauge the length of this strip dx, such as
Mass of the strip = dm
vertical strips of width = dx
l = x . (a/b)
The mass of the strip is dm=(2M/ab)ldx
The distance of the center of mass from the vertex of the triangle is
xCM = 1/M∫(x)dm
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