Question

The centriod of the triangle, whose sides are given by x=0,y=0 and x+y= 6 is

Answer 1

Hi Mate!!

let. the coordinates of centroid be ( h, k )

h = 0 + 6 + 0 / 3 = 2

k = 0 + 0 + 6 / 3 = 2

So, centroid of Trangle is ( 2,2 )

Answer 2

Answer:

(2,2)

Step-by-step explanation:

5 marks question:

Let OAB be the triangle formed by the given lines:

O is the point of intersection of x = 0 and y = 0 i.e O(0,0) => (x₁,y₁) = (0,0)

A is the point of intersection of x = 0 and x + y = 6 i.e A(0,6) => (x₂,y₂) = (0,6)

B is the point of intersection of y = 0 and x + y = 6 i.e B(6,0) => (x₃,y₃) = (6,0)

∴ Centroid of ΔOAB is G = (x₁ + x₂ + x₃/3, y₁ + y₂ + y₃/3)

                                         = (0 + 0 + 6/(3), 0 + 6 + 0/(3))

                                         = (6/3, 6/3)

                                         = (2,2).

Therefore, the coordinates of centroid are (2,2).

Hope it helps!