Q. 12 B4.0( 9 Votes )

# The co-ordinates of centroid of triangle is (6, 9) and two vertices are (15, 0) and (0, 10); let us find the co-ordinates of third vertex.

Answer :

Let the vertices of triangle be

A = (x_{1}, y_{1}) = (15, 0) and

B = (x_{2}, y_{2}) = (0, 10) and

C = (x_{3}, y_{3})

Centroid G = (6, 9)

Centroid of a triangle is given by

G =

⇒ (6, 9) =

Substituting values

⇒ (6, 9) =

Equating x and y coordinates

⇒ = 6 and = 9

⇒ 15 + x_{3} = 18 and 10 + y_{3} = 27

⇒ x_{3} = 3 and y_{3} = 17

Hence the coordinates of third vertex is (3, 17)

Rate this question :

Let us write by calculating what value of K, the points (1, –1), (2, –1) and (K, –1) lie on same straight line.

West Bengal MathematicsLet us write the co-ordinates of centroid of triangle formed by the three points (x – y, y – z), (–x, –y) and (y, z).

West Bengal MathematicsThe co-ordinates of centroid of triangle is (6, 9) and two vertices are (15, 0) and (0, 10); let us find the co-ordinates of third vertex.

West Bengal MathematicsLet us prove that the line joining two points (1, 2) and (–2, –4) passes through origin.

West Bengal MathematicsThe co-ordinates of centroid of a triangle formed by the three points (7, –5), (–2, 5) and (4, 6) is

West Bengal MathematicsThe co-ordinates of mid-points of the sides of a triangle ABC are (0, 1), (1, 1) and (1, 0); let us find the co-ordinates of its centroid.

West Bengal MathematicsIf (0, 0), (4, –3) and (x, y) are collinear then

West Bengal MathematicsLet us prove that the midpoint of line segment joining two points (2, 1) and (6, 5) lie on the line joining two points (–4, –5) and (9, 8).

West Bengal MathematicsThe area of triangular region formed by three points (0, 4), (0, 0) and (–6, 0) is

West Bengal MathematicsIf the three points (a, 0), (0, b) and (1, 1) are collinear then let us show that