If A(2, 3), B(0, 6) and C(-5, 0) are the vertices of ΔABC, then find the coordinates of its centroid.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \((-1, 3)\)
The centroid of a triangle is the point where its medians meet; its coordinates are the averages of the vertices’ coordinates.
x-coordinate: the average of 2, 0 and −5, \(\displaystyle x=\frac{2+0+(-5)}{3}=\frac{-3}{3}=-1\)
y-coordinate: the average of 3, 6 and 0, \(\displaystyle y=\frac{3+6+0}{3}=\frac{9}{3}=3\)