If distance between orthocentre and circumcentre of a triangle is 6 cm then what is the distance between its centroid and circumcentre? यदि एक त्रिभुज के लम्ब केन्द्र और परिकेन्द्र के मध्य अन्तर 6 सेमी. है तो इसके केन्द्रक और परिकेन्द्र के मध्य की दूरी क्या है।

In any triangle, the centroid (G), circumcenter (O), and orthocenter (H) lie on the Euler line. The centroid divides the line segment joining the orthocenter and circumcenter in the ratio 2:1, with the centroid being closer to the circumcenter. If OH = 6 cm, then OG = (1/3) × OH = 6/3 = 2 cm. Option B matches. Options A, C, and D don't satisfy the Euler line property.