Answer:
LP = 18
Step-by-step explanation:
Given that,
In ΔLPN,
LQ = 6, LM = 11 and MN = 22
We need to find the length of LP.
As QM ║PN, let QP = x
[tex]\dfrac{LQ}{LP}=\dfrac{LM}{LN}\\\\\dfrac{6}{6+x}=\dfrac{11}{11+22}\\\\\dfrac{6}{6+x}=\dfrac{11}{33}\\\\198=66+11x\\\\198-66=11x\\\\132=11x\\\\x=12[/tex]
LP = 6+x
= 6+ 12
= 18
Hence, the length of LP is 18.
