Respuesta :

mhanifa

Answer:

  • The length of MN is 5 cm

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:

  • LX = QP/2 = 20/2 = 10 cm

Since QP ║ LX ║ NM, the segment NM is the midsegment of ΔPLX.

Find the length of NM:

  • NM = LX/2 = 10/2 = 5 cm
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