Question #141299
R is the midpoint of PS.Q is the midpoint of PR. PR=3. what is the length of QS
1
Expert's answer
2020-11-02T20:00:07-0500

Since QQ is the midpoint of PRPR , PR=2QRPR=2QR, and thus QR=PR2=32=1.5QR=\frac{PR}{2}=\frac{3}{2}=1.5. Taking into account that RR is the midpoint of PSPS we conclude that RS=PR=3RS=PR=3. Therefore, QS=QR+RS=1.5+3=4.5.QS=QR+RS=1.5+3=4.5.


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