Question

QUESTION:
If (-2,3),(4,-3), and (4,5) are the mid points of the side of a triangle, find the coordinates of it's centroid.​

Answer 1

Answer:

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If (-2,3),(4,-3), and (4,5) are the mid points of the side of a triangle, find the coordinates of it's centroid.

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Let the given vertices of a triangle be A(−2,3) and B (4,−3) let the third vertex be C (4,5).

Let Centroid be x

Then,

$\frac{ \chi 1 + \chi2 + \chi3}{3}, \frac{y1 + y2 + y3}{3} \brack \\ \implies \: x = ( \frac{ - 2 + 4 + 4}{3} , \frac{3 - 3 + 5}{3} ) \\ \implies \: x = ( \frac{ \cancel6}{ \cancel3} , \frac{5}{3} ) \\ \implies \: \green\bigstar\blue{\boxed{ x = (2, \frac{5}{3} )}}$

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