# FINDING THE CENTROID OF A TRIANGLE WORKSHEET

## About "Finding the Centroid of a Triangle Worksheet"

Finding the Centroid of a Triangle Worksheet :

Here we are going to see some practice questions on finding centroid of the triangle.

The centroid G of the triangle with vertices A(x1, y1), B(x2, y2) and C(x3, y3) is

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

## Finding the Centroid of a Triangle Worksheet - Practice questions

(1)  Find the centroid of the triangle whose vertices are

(i)  (2, −4), (−3, −7) and (7, 2)

(ii)  (−5,−5),  (1,−4) and (−4,−2)           Solution

(2)  If the centroid of a triangle is at (4,−2) and two of its vertices are (3,−2) and (5,2) then find the third vertex of the triangle         Solution

(3)  Find the length of median through A of a triangle whose vertices are A(−1, 3), B(1, −1) and C(5, 1).

Solution

(4)  Th e vertices of a triangle are (1, 2), (h, −3) and (−4, k). If the centroid of the triangle is at the point (5, −1) then find the value of (h + k)2 + (h + 3k)2.        Solution

(5)  Orthocentre and centroid of a triangle are A(−3, 5) and B(3, 3) respectively. If C is the circumcentre and AC is the diameter of this circle, then find the radius of the circle.   Solution

(6)  ABC is a triangle whose vertices are A(3, 4), B(−2, −1) and C(5, 3) . If G is the centroid and BDCG is a parallelogram then find the coordinates of the vertex D.   Solution

(7)  If (3/2, 5) (7, -9/2) and (13/2, -13/2) are mid-points of the sides of a triangle, then find the centroid of the triangle.    Solution

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