YadielB111592 YadielB111592

31-10-2022
Mathematics

Answered

In the diagram of LPN below, QM ||PN, QP=32, LM=10, and MN=40. What is the length of LP? L 10 M M 32 40 P N Answet Submit Answer

Answer :

KeigenC395409 KeigenC395409

31-10-2022

[tex]\begin{gathered} By\text{ thales' theorem} \\ \\ \frac{LQ}{QP}=\frac{LM}{MN} \\ \\ \frac{LQ}{32}=\frac{10}{40} \\ \\ LQ=\frac{32}{4} \\ \\ LQ=8 \\ \\ \text{ Thus } \\ LP=LQ+QP \\ LP=8+10 \\ \\ LP=18 \end{gathered}[/tex]

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