In a triangle ABC, the coordinates of a point A,B,C are(3,2),(6,4) and (9,3) respectively Find the coordinates of centroid - Maths - Coordinate Geometry

Question

In a triangle ABC, the coordinates of a point A,B,C
are(3,2),(6,4) and (9,3) respectively Find the coordinates of
centroid G Also find the areas of triangle ABG and triangle ACD

priyanka saggu · Accepted Answer

Coordinates of triangle ABC are:A(3,2); B(6,4) and
C(9,3)Coordinates of centroid is given by the
formula:[(x1+x2+x3)3,(y1+y2+y3)3](3+6+93,2+4+33)(6,3)
ar(ABG) can be found using the formul,12|x1(y2-y3)
+x2(y3-y1)+x3(y1-y2)|=12|3(4-3)+6(3-2)+6(2-4)|=12|3+6+6(-2)|=12|9-12|
= =1 5 sq units
The point D is not specified so please see to it

In a triangle ABC, the coordinates of a point A,B,C are(3,2),(6,4) and (9,3) respectively. Find the coordinates of centroid G. Also find the areas of triangle ABG and triangle ACD