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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ९

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

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प्रश्न

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

बेरीज

उत्तर

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)

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The Coordinates of the Centroid
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Coordinate Geometry - Exercise 5.5 [पृष्ठ २१७]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
पाठ 5 Coordinate Geometry
Exercise 5.5 | Q 1. (i) | पृष्ठ २१७
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