Answer: b = 12
Step-by-step explanation:
Since, According to the question,
[tex]\triangle LMN\sim \triangle OPQ[/tex]
Therefore, By the property of similar triangles,
[tex]\frac{LM}{LN} = \frac{OP}{OQ}[/tex]
Here, LM=3, LN = 4, OP=9 and OQ= b
By putting the values,
[tex]\frac{3}{4} = \frac{9}{b}[/tex]
⇒ [tex]b = 9\times \frac{4}{3}[/tex]
⇒ [tex]b = 12[/tex]
