Question

Help please BRAINLIEST to correct

Answer 1

Answer:

The center of the given triangle FGH is

$(\frac{8}{3},-\frac{4}{3})$

Step-by-step explanation:

Given that the triangle FGH has vertices (0,4),(0,-4) and (8,-4) respectively.

To find the center of the given triangle FGH:

The centroid of a triangle is its center-most point.

Therefore we can simply find the centroid

Let O be the centroid of the triangle FGH

We have Centroid formula $Ox=\frac{Fx+Gx+Hx}{3}$

and  $Oy=\frac{Fy+Gy+Hy}{3}$

$Ox=\frac{Fx+Gx+Hx}{3}$

$Ox=\frac{0+0+8}{3}$

$Ox=\frac{8}{3}$

and  $Oy=\frac{Fy+Gy+Hy}{3}$

$Oy=\frac{4-4-4}{3}$

$Oy=\frac{0-4}{3}$

$Oy=\frac{-4}{3}$

Therefore $Oy=-\frac{4}{3}$

The centroid of the triangle FGH is

$(\frac{8}{3},-\frac{4}{3})$

That is the center of the given triangle FGH is

$(\frac{8}{3},-\frac{4}{3})$