Solve the following questions (Any three):9 and PQ2 + PR2-290. FindIn – InterviewSolution

1.	Solve the following questions (Any three):9 and PQ2 + PR2-290. FindIn Δ PQR, seg PM is a median, PMthe length of QR.(i)
Answer» Given:-i)In ∆PQR,seg.PM is a median.ii)PM=9iii)PQ²+PR²=290.To find:-QR=?Solution:-(By using Appolonius theorem)PQ²+PR²=2PM²+2QM²(Substitute the values)290=2(9)²+2QM²290=2(81)+2QM²290-162=2QM²128=2QM²128/2=QM²64=QM² (By taking sq.root )8=QMi.e.QM=8We know that,PM is median on seg.QR:.QM=1/2(QR)i.e.2QM=QR(Substitute the value)2(8)=QRQR=16

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