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If vertex of a triangle is (1, 1) and the mid points of two sides through this vertex are (−1, 2) and (3, 2) then the centroid of the triangle is

1. (−1, 7/3)
2. (1/3, 7/3)
3. (1, 7/3)
4. (1/3, 7/3)

Correct answer: (1, 7/3)

Solution

The centroid of a triangle is calculated as the average of the coordinates of its vertices. Given the vertex at (1, 1) and the midpoints at (−1, 2) and (3, 2), the centroid is found by averaging these points, resulting in (1, 7/3).

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