Question

If triangle ABC is similar to triangle LMN, AB=18, BC=12, LN=9, and LM=6 what is the scale factor of triangle ABC to LMN?

Answer 1

Provided that

`\Delta ABC\sim\Delta LMN`

From the similar triangles threorem, we have

`\begin{gathered} (AB)/(LM)=(BC)/(MN)=(AC)/(LN) \\ \Rightarrow(18)/(6)=(3)/(1) \end{gathered}`

Hence, the scale factor is

`3`