Question

The sum of x-coordinates of the vertices of the triangle is 18 and that of y-coordinates is 24 then the coordinates of its centroid are..............

(a) (6,8)
(b) (8,6)
(c) (9,12)
(d) (12,9)​

Answer 1

Answer:

(a) 6,8

Step-by-step explanation:

$x_1$+$x_2$+$x_1$ = 18 [Given]

$y_1$+$y_2$+$y_3$= 24[Given]

Formula $\implies$ $\frac{x1 + x2 +x3}{3}$ ; $\frac{y1 + y2 +y3}{3}$

$\frac{18}{3}$ ; $\frac{24}{3}$

(6 ; 8) ans.

Answer 2

Answer:a

Step-by-step explanation:

Given

sum of x co-ordinates of vertices of triangle is

$\sum x=18$

i.e. if $x_1$, $x_2$ and $x_3$ are the x co-ordinates of three  vertices

also sum of y co-ordinates of triangle

$\sum y=24$

i.e. $y_1$, $y_2$ and $y_3$ be the y co-ordinates of triangle

Centro id of a triangle is given by

$x_{c}=\frac{x_1+x_2+x_3}{3}=\frac{\sum x}{3}$

$x_{c}=\frac{18}{3}=6$

y co-ordinate of center of triangle

$y_c=\frac{y_1+y_2+y_3}{3}$

$y_c=\frac{\sum y}{3}$

$y_c=\frac{24}{3}=8$

$(x_c,y_c)=(6,8)$