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The points A(x1, y1), B(x2, y2) and C(x3, y3) are the vertices of ∆ABC. What are the coordinates of the centroid of the triangle ABC? - Mathematics

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Question

The points A(x1, y1), B(x2, y2) and C(x3, y3) are the vertices of ∆ABC. What are the coordinates of the centroid of the triangle ABC?

Sum

Solution

According to the question,

The vertices of ΔABC = A, B and C

Coordinates of A, B and C = A(x1, y1), B(x2, y2), C(x3, y3)

Coordinate of the centroid of the ΔABC;

= `("Sum of all coordinates of all vertices"/3, "Sum of all coordinates of all vertices"/3)`

= `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)`

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Chapter 7: Coordinate Geometry - Exercise 7.4 [Page 86]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 7 Coordinate Geometry
Exercise 7.4 | Q 3.(iv) | Page 86

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