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What do the orthocenter, centroid, and circumcenter share in common? They lie on the Euler line! See more

The centroid is the intersection of which 3 lines in a triangle?

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Which of the following triangles has medians that do NOT intersect at one point?

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Which of following triangles has medians whose intersection lies outside of the triangle?

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\(AD, BE,\) and \(CF\) are the medians of triangle \(ABC,\) and \(G\) is the intersection of the medians. If \(AB=10, BC=12,\) and \(CA=14,\) which triangle has the largest area?

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