In triangle PQR, if PT is the median, then which of the following is correct?

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Accepted Answer

Given triangle PQR with PT as the median, T is the midpoint of QR. By Apollonius' theorem, the sum of the squares of the two sides (PQ and PR) is equal to twice the sum of the square of the median (PT) and the square of half the third side (QT). Since T is midpoint, QT = 1/2 QR. The theorem states:

PQ² + PR² = 2(PT² + QT²)

Hence, option 2 is correct.

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