Question

the triangles in each pair are similar. state which \similarity theorem\ best identifies these triangles.
aa~
sas~
sss~

Explanation:

Step1: Calculate the ratios of corresponding sides

For \(\triangle ABC\) and \(\triangle FGH\),
\(\frac{AB}{FH}=\frac{72}{12} = 6\), \(\frac{BC}{GF}=\frac{48}{8}=6\), \(\frac{AC}{HG}=\frac{84}{14} = 6\)

Step2: Check the similarity theorem

Since \(\frac{AB}{FH}=\frac{BC}{GF}=\frac{AC}{HG}\), by the SSS (Side - Side - Side) similarity theorem, if the ratios of the corresponding sides of two triangles are equal, then the two triangles are similar.

Answer:

SSS -