Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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Find the centroid of the triangle whose vertices are (2, −4), (−3, −7) and (7, 2) - Mathematics

Sum

Find the centroid of the triangle whose vertices are (2, −4), (−3, −7) and (7, 2)

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Solution

Let the vertices of a triangle be A(2, −4), B(−3, −7) and C(7, 2) 

Centroid of a triangle (G) = `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)`

= `((2 - 3 + 7)/3, (-4 - 7 + 2)/3)`

= `(6/3, (-9)/3)`

= (2, −3)

Centroid is (2, −3)

Concept: The Coordinates of the Centroid
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APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 5 Coordinate Geometry
Exercise 5.5 | Q 1. (i) | Page 217
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