Q1) In APQR, seg PM is a median. If PR = 13cm, PM = 12cm, QR = 22cm, then find PQ.
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Answer:
In △ PQR,seg PM is the median (Given)
PQ
2
+PR
2
=2PM
2
+2QM
2
(By Appollonius theorem)
290=2(9)
2
+2QM
2
290=2(81)+2QM
2
290=162+2QM
2
290162=2QM
2
128=2QM
2
QM
2
=
2
128
QM
2
=64
QM=8 units
QM=
2
1
QR
QR=2QM
QR=16units
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