Question

A triangle is formed by the lines x + y = 8, X-axis and y-axis. Its centroid is
(A) (8,8)
(B) (4, 4)
(C) (0,2)
(D) (8/3,8/3)​

Answer 1

Answer:

b 4,4

Step-by-step explanation:

the 3 solutions are (0,8),(4,4),(8,0) so for centroid (b) is the correct answer

Answer 2

Answer:

(d) (8/3,8/3)

Step-by-step explanation:

we know two points already (X,0) and (0,Y)

and since they didn't mention a point, the value of x and y in the above points is equal to the value in the equation x+y=8

let x be 4

4+y=8

y=4

so the three points now are; (4,0) (0,4) (4,4)

• formula of centroid→ C($\frac{x_{1} +x_{2} +x_{3}}{3} ,$  $\frac{y_{1} +y_{2} +y_{3}}{3}$)

=(0+4+4/3  4+0+4/3)

=(8/3,8/3)