## FIND CENTROID OF A TRIANGLE WITH COORDINATES WORKSHEET

Find Centroid of a Triangle with Coordinates Worksheet :

In this section, let us see some practice problems on finding centriod of a triangle.

Definition of centroid :

Consider a triangle ABC whose vertices are A(x1, y1), B(x2 , y2 ) and C(x3 , y3). Let AD, BE and CF be the medians of the triangle ABC. The centroid G of the triangle with vertices A(x1, y1), B(x2 , y2 ) and C(x3 , y3) is

=  [ (x1 + x2 + x3)/3, (y1 + y2 + y3)/3 ]

In the above triangle , AD, BE and CF are called medians. All the three medians AD, BE and CF are intersecting at G. So  G is called centroid of the triangle

## Practice Question on Finding Centriod of the Triangle

(1)  Find the centroid of triangle whose vertices are (1, 10) (-7, 2) and (-3, 7).           Solution

(2) Find the centroid of triangle whose vertices are (-1,-3) (2, 1) and (2, -4).          Solution

(3)  Find the centroid of triangle whose vertices are (1, 1) (2, 3) and (-2, 2).          Solution

(4)  Find the centroid of triangle whose vertices are (1, 1) (2, 3) and (-2, 2).          Solution

(5)  Find the centroid of triangle whose vertices are (6, 7) (2, -9) and (-4, 1)          Solution

(6)  Find the centroid of triangle whose vertices are (3, 4) (2, -1) and (4, -6).          Solution

(7)  Find the centroid of triangle whose vertices are  (5, 6) (2, 4) and (1, -3).          Solution

(8)  Find the centroid of triangle whose vertices are  (1, 3) (-7, 6) and (5, -1).          Solution

(9)  Find the centroid of triangle whose vertices are  (1, 1) (3, 4) and (5, -2).          Solution

(10)  Find the centroid of triangle whose vertices are  (-3, -9) (-1, 6) and (3, 9).        Solution After having gone through the stuff given above, we hope that the students would have practiced finding centroid of the triangle with the given vertices.

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