Question

Question for Only:- ❏ Moderators ❏ Brainly Stars ❏ Best users ✰ QUESTION if (3/2 ,0),(3/2,6)and ( -1 ,6)are the midpoints of a triangle then find the coordinates of centroid of the triangle!!!​

Answer 1

Solution :-

Centroid is a point where the three median of triangle intersects each other.

Coordinates of centroid of a triangle whose mid-points of vertices is given by the average of x and y coordinates.

Let's assume :

• ( x1 , y1 ) = ( 3/2, 0 )
• ( x2, y2 ) = ( 3/2,6 )
• ( x3, y3 ) = ( -1, 6 )

So,

${ \leadsto \sf Centroid \: of \: \Delta = \left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)}$

${ \leadsto \sf Centroid \: of \: \Delta = \left(\dfrac{ \dfrac{3}{2} + \dfrac{3}{2} - 1}{3},\dfrac{0 + 6 + 6}{3}\right)}$

${ \leadsto \sf Centroid \: of \: \Delta = \left(\dfrac{ 3 - 1}{3},\dfrac{12}{3}\right)}$

${\purple {\leadsto \sf Centroid \: of \: \Delta = \left(\dfrac{ 2}{3},4\right)}}$

Hence these are the required coordinates of centroid of triangle.