Question

write co ordinates of centroid of triangle formed by joining (2,3),(-3,0) and (4,0)​

Answer 1

Answer:

(4,−2)

Step-by-step explanation:

Answer 2

Given:

Three coordinates of a triangle (2, 3), (-3, 0), and (4, 0).

To Find:

The coordinates of the centroid of the triangle.

Solution:

The given problem can be solved using the concepts of coordinate geometry.

1. The given coordinates of a triangle are ​(2, 3), (-3, 0), and (4, 0).

2. Consider a triangle with coordinated (x1,y1), (x2,y2), (x3,y3).

=> The coordinates of the centroid of the triangle is given by the formula,

=> Centroid(h,k) = [ (x1+x2+x3)/3, (y1+y2+y3)/3 ]

3. Using the formula mentioned above the coordinates of the centroid can be calculated,

=> Centroid (h,k) = [ (2 + 4 + (-3))/3, (3 + 0 + 0)/3 ],

=> Centroid (h, k) = [ 3/3, 3/3 ],

=> Centroid(h,k) = [1,1].

Therefore, the centroid of the triangle formed by joining (2,3), (-3,0), and (4,0) is (1,1).