Question

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 1

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