state if the triangles in each pair are similar. If so, State how you know they are similar and complete the similarity statement. Part 4​
a. similar, SSS similarity
b. similar, SAS similarity triangle LSR
c. not similar

state if the triangles in each pair are similar If so State how you know they are similar and complete the similarity statement Part 4a similar SSS similarityb class=

Respuesta :

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

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