Question

How do we get the coordinates of the circumcentre if the coordinates of the orthocenter and the centroid of the triangle are given to us?

Answer 1

Step-by-step explanation:

The circumcentre O, centroid G and orthocentre O

′

of a triangle are collinear.

G divides O

′

O in the ratio 2:1.

Let the coordinates of G be (x,y).

Then, (

2+1

2×5+1×2

,

2+1

2×5+1×2

)

=(x,y)⇒(x,y)=(4,4)

Hence, coordinates of centroid are (4,4).

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