Question

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Answer 1

LP = 18

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

`(LQ)/(LP)=(LM)/(LN)\\\\(6)/(6+x)=(11)/(11+22)\\\\(6)/(6+x)=(11)/(33)\\\\198=66+11x\\\\198-66=11x\\\\132=11x\\\\x=12`

LP = 6+x

= 6+ 12

= 18

Hence, the length of LP is 18.