In ΔPQR, if PT is the median, then which of the following is correct?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. PQ2 + PR2 = 2(PT2 + QT2).
If PT is the median in triangle PQR, it means that T is the midpoint of the side QR.
So, QT = TR
Apollonius's theorem:
PQ2 + PR2 = 2PT2 + 2QT2 = 2(PT2 + QT2)
Therefore, the correct option is PQ2 + PR2 = 2(PT2 + QT2)