Question

Peter draws triangle ABC and identifies a point that lies outside of triangle ABC as the intersection of the medians of the triangle. Could peter be correct?

Answer 1

No

Explanation:

Each median resides entirely within the triangle. The point of their intersection (the centroid) is always inside the triangle. The point Peter is describing is not the intersection of medians.

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The intersection of altitudes may be outside the triangle, as may be the intersection of side bisectors. The latter is called the circumcenter.