Please use integration to find the center of mass of the triangle `(0,0)(2,0)(0,8)`

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aruv | High School Teacher | (Level 2) Valedictorian

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Let O(0,0) ,A(2,0) and B(0,8) be the vertices  of triangle OAB.

equation of  side AB of triangle OAB is




Thus are of the triangle OAB is





`= 8`  sq.unit

Thus centre of the mass





`bary=(1/Delta)int_0^2 (1/2)y^2dx`






Thus centre of mass of the triangle is`(barx,bary)=(2/3,8/3)`