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in Coordinate Geometry by (30.3k points)
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Find the third vertex of a △ABC if two of its vertices are B(-3,1) and C(0,-2), and its centroid is at the origin

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Two vertices of \(\triangle ABC\) are B(-3,1) and C(0,-2). Let the third vertex be A(a,b).

Then, the coordinates of its centroid are

But it is given that the centroid is at the origin, that is G(0,0). Therefore

Therefore, the third vertex of \(\triangle ABC\) is A(3,1).

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