Answer:
Step-by-step explanation:
Add the segment LX, parallel to QP.
Recall the properties of midsegment:
- Midsegment is parallel to side,
- Midsegment is half the length of the parallel side.
We have:
- Since QL = LR, the point L is midpoint of Q,
- Since PN = NL, the point N is midpoint of PL,
- Since LX is parallel to QP, LX is midsegment of ΔPRQ.
Find the length of LX:
Since QP ║ LX ║ NM, the segment NM is the midsegment of ΔPLX.
Find the length of NM:
