In a triangle (other than equilateral) the orthocentre, the centroid and the circumcentre are collinear. If OG=
8cm, then the value of GS =
(in cm)
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Step-by-step explanation:
Triangle centers on the Euler line
Euler showed in 1765 that in any triangle, the orthocenter, circumcenter and centroid are collinear. ... In equilateral triangles, these four points coincide, but in any other triangle they are all distinct from each other, and the Euler line is determined by any two of them.
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