The medians of a triangle meet at the point (0, -3). Two of its vertices are at (-1, 4) and (5, 2). Find the coordinates of the third vertex.

(4, 15)
(-4, -15)
(-4, 15)
(4, -15)

Correct answer: (-4, -15)

Solution

The centroid (intersection of medians) equals the average of the three vertices. Setting the centroid equal to (0, -3) with two known vertices gives x3 = -4 and y3 = -15.

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