Question

the centroid of the find the centroid of the triangle whose vertices are - a (6,-1) b (8,3) ( 10, - 5)​

Answer 1

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Explanation:

what is centroid.??

Centroid is a point on the triangle which is the centre of a triangle which is equidistant from all vertices and sides.

Formula for finding centroid:-

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

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

$x = \frac{6 + 8 + 10}{3} = \frac{24}{3} = 8$

$y = \frac{ - 1 + 3 - 5}{3} = - 1$

Hence ,the centroid are (8,-1)

Additional information:-

• The centroid of a triangle formed on the intersection of the median
• The median will be in the ratio 2:1 where centroid formed.