Question

find the centroid of (4,-3),(-1,9),(-5,-6)​

Answer 1

Step-by-step explanation:

centroid = (x1+ X2+X3)/3 , (y1+y2+y3)/3

= (4-1-5)/3 , (-3+9-6)/3

=(-2)/3 , 0/3

= -2/3 , 0

Answer 2

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find the centroid of (4,-3),(-1,9),(-5,-6)

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What is centroid of a triangle.?

• Centroid of a triangle means a point on triangle where all three medians of a triangle intersect each other.

Here ,(4,-3),(-1,9)&(-5,-6)

• X1=4;Y1=-3
• X2=-1;Y2=9
• X3=-5;y3=-6

Formula for finding centroid

$\bold{\boxed{X = \frac{x1 + x2 + x3}{3} }}$

$\bold{\boxed{ Y= \frac{y1 + y2 + y3}{3}}}$

$= > x = \frac{4 + ( - 1) + ( - 5}{3}$

$= > \frac{3 - 5}{3} = - \frac{2}{3}$

$= > x = - \frac{ 2}{3}$

$y = \frac{ - 3 + 9 + ( - 6)}{3} = \frac{6 - 6}{3} = 0$

$\bold{\pink{Hence ,centroid \: are : = ( - \frac{2}{3} ,0)}}$

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