Practicing Success
If A(2, 3), B(0, 6) and C(-5, 0) are the vertices of ΔABC, then find the coordinates of its centroid. |
$\left(-\frac{3}{2},\frac{9}{2}\right)$ $\left(\frac{7}{2},3\right)$ $(1, 1)$ $(-1, 3)$ |
$(-1, 3)$ |
Centroid of triangle with vertices (a1,b1) , (a2,b2) & (a3,b3) are ( \(\frac{a1 + a2 + a3}{3}\) , \(\frac{b1 + b2 + b3}{3}\) ) So, A = \(\frac{2 + 0 - 5}{3}\) = \(\frac{-3}{3}\) = - 1 B = \(\frac{3 + 6 + 0}{3}\) = \(\frac{9 }{3}\) = 3 The correct answer is option (4) : $(-1, 3)$ |