Answer: a) similar, SSS similarity
Step-by-step explanation:
ΔLSR sides in order from least to greatest are: 24, 33, 36
ΔLNM sides in order from least to greatest are: 112, 154, 168
If the triangles are similar then their corresponding sides will be proportional
[tex]\dfrac{LS}{LN}=\dfrac{SR}{NM}=\dfrac{LR}{LM}\\\\\\\\\\\dfrac{LS}{LN}=\dfrac{24}{112}\quad \rightarrow \dfrac{3}{14}\\\\\\\dfrac{SR}{NM}=\dfrac{33}{154}\quad \rightarrow \dfrac{3}{14}\\\\\\\dfrac{LR}{LM}=\dfrac{36}{168}\quad \rightarrow \dfrac{3}{14}[/tex]
Their corresponding sides are proportional so
ΔLSR ≅ ΔLNM by Side-Side-Side Similarity Theorem