Question

state the postulate that proves these triangles are similar.

Explanation:

Step1: Calculate the ratios of corresponding sides

For \(\triangle CBA\) and \(\triangle GFH\), we have:

• \(\frac{CB}{GF}=\frac{48}{8} = 6\)
• \(\frac{BA}{FH}=\frac{72}{12}=6\)
• \(\frac{CA}{GH}=\frac{84}{14} = 6\)

Step2: Check the similarity criterion

Since \(\frac{CB}{GF}=\frac{BA}{FH}=\frac{CA}{GH} = 6\), by the SSS (Side - Side - Side) similarity criterion, the two triangles are similar.

Answer:

SSS~