Question

The centroid of the triangle having vertices (–1, 2), (3, 4) and (4, 3) is
a (3, 2)
b (2, 3)
c (–2, 3)
d (3, –2)

Answer 1

Answer:

Option b is correct.

coordinates of centroid are (2,3)

Step-by-step explanation:

To find the centroid of the triangle having vertices(–1, 2), (3, 4) and (4, 3) apply the formula to find centroid.

If (x1,y1),(x2,y2) and (x3,y3) are vertices of triangle,then centroid C(x,y) is

$x = \frac{x_1 + x_2 + x_3}{3} \\ \\ y = \frac{y_1 + y_2 + y_3}{3}$

So, the co-ordinates of centroid are

$x = \frac{ - 1 + 3 + 4}{3} \\ \\ = \frac{6}{3} \\ \\x = 2 \\ \\ y = \frac{2 + 4 + 3}{3} \\ \\ = \frac{9}{3} \\ \\ y= 3$

Centroid C(2,3).

Option b is correct.

Hope it helps you.