Question

In triangle PQR, if P(3,4) is a vertex of the triangle and S(3,1) is middle point of QR , fimd the coordinates of centroid of the triangle.
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Answer 1

Answer:

centroid = (3, 2)

Step-by-step explanation:

The centroid of a triangle is the point of intersection of the medians.  

Given that S (3, 1) is the middle point of QR, this indicates that triangle PQR is an isoceles triangle with sides QP = PR and base QR.  Therefore, the x-coordinate of the centroir will be x = 3.

Vertical distance between S and P = 3 units

Therefore, centroid will be 1/3 of SP.  1/3 of 3 = 1.

Therefore, y-coordinate of centroid = 1 + 1 = 2.