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Find the Centroid of δAbc Whose Vertices Are A(2,2) , B (-4,-4) and C (5,-8). - Mathematics

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Find the centroid of ΔABC  whose vertices are A(2,2) , B (-4,-4) and C (5,-8).

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Solution

The given points are A(2,2) , B (-4,-4) and C (5,-8).

`Here ,  (x_1 = 2, y_1=2), (x_2=-4, y_2=-4) and (x_3=5 , y_3 =-8)`

Let G (x ,y) br the centroid of Δ ABC Then , 

`x= 1/3 (x_1+x_2+x_3)`

`=1/2(2-4+5)`

=1

`y=1/3(y_1+y_2+y_3)`

`=1/3 (2-4-8)`

`=(-10)/3`

Hence, the centroid of ΔABC is G `(1,(-10)/3).`

Concept: Coordinate Geometry
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 15

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