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?

Rohan Thacker asked Jul 6, 2023

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Rohan Thacker asked Jul 6, 2023

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26 votes

Solution:

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

Evgenij Reznik answered Jul 11, 2023

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