# Central attention

**Geometry**Level 4

In a triangle ABC, with BC as diameter a circle is drawn such that it passes through centroid(G) of triangle ABC.If BG=8 units CG=15 units then what is the value of

\[ AB^2 + AC^2? \]

In a triangle ABC, with BC as diameter a circle is drawn such that it passes through centroid(G) of triangle ABC.If BG=8 units CG=15 units then what is the value of

\[ AB^2 + AC^2? \]

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