Given: Coordinates of Triangle are A(3, 1) and B(1, -3)
Centroid of triangle lies on x- axis.
Let the third coordinate be C(x, y)
Centroid of the triangle with vertices (x1, y1), (x2, y2), (x3, y3) is given by,
The y coordinate of centroid will be 0, as it lies opn x – axis.
Therefore,
y1 + y2 + y3 = 0
1 – 3 + y3 = 0
y3 = 2
So, C(x, y) becomes (x, 2)
We are given that the area of triangle = 3 square units.
We know that,