QQuestion
The coordinates of the vertices of triangle ABC are respectively (−4, −2), (6, 2) and (4, 6). The centroid G of triangle ABC is:
(a) (2, 2)
(b) (2, 3)
(c) (3, 3)
(d) (0, −1)
ICSEClass 10MathematicsSection Formula01 Mark2023 Moderate
✓Answer
(a) (2, 2)
Explanation:
Centroid = \left(\frac{\mathrm{x_1+x_2+x_3}}{3},\frac{\mathrm{y_1+y_2+y_3}}{3}\right)
= \left(\frac{-4+6+4}{3},\frac{-2+2+6}{3}\right)
= (2, 2).
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