KnowledgeBoat Logo
|

Mathematics

The coordinates of the vertices of ΔABC are respectively (-4, -2), (6, 2) and (4, 6). The centroid G of ΔABC is:

  1. (2, 2)

  2. (2, 3)

  3. (3, 3)

  4. (0, -1)

Section Formula

1 Like

Answer

The coordinates of the vertices of ΔABC are respectively (-4, -2), (6, 2) and (4, 6). The centroid G of ΔABC is: Reflection, RSA Mathematics Solutions ICSE Class 10.

By centroid formula,

G(x, y) = (x1+x2+x33,y1+y2+y33)\Big(\dfrac{x1 + x2 + x3}{3}, \dfrac{y1 + y2 + y3}{3}\Big)

Substituting values we get :

G=(4+6+43,2+2+63)=(63,63)=(2,2).\Rightarrow G = \Big(\dfrac{-4 + 6 + 4}{3}, \dfrac{-2 + 2 + 6}{3}\Big) \\[1em] = \Big(\dfrac{6}{3}, \dfrac{6}{3}\Big) \\[1em] = (2, 2).

Hence, Option 1 is the correct option.

Answered By

1 Like


Related Questions