Question

(0,0),(0,2) and (3,7) are the co-ordinates of the vertices of a triangle. The distance
of its centroid from the origin is--

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Answer 1

Answer:

$\sqrt{10}$

Step-by-step explanation:

The coordinates of centroid are;

$\frac{0 + 0 + 3}{3} = 1$

$\frac{0 + 2 + 7}{3} = 3$

So, centroid is (1,3)

Now distance of centroid from origin

$\sqrt{ {(1 - 0)}^{2} + {(3 - 0)}^{2} } = \sqrt{1 + 9} = \sqrt{10}$