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Dear Student,

Please find below the solution to the asked query:

To state any two triangle similar to each other we find ratio of their corresponding sides and check weather they are equal or not .

For $∆$ ABC and $∆$ FED 

$$\begin{gathered} \frac{\mathrm{AB}}{\mathrm{FE}} = \frac{6}{4.5}= 1.33 \\ \mathrm{And} \\ \frac{\mathrm{BC}}{\mathrm{ED}} = \frac{4}{3}= 1.33 \\ \mathrm{So}, \\ \frac{\mathbf{AB}}{\mathbf{FE}}\mathbf{ }\mathbf{=}\frac{\mathbf{BC}}{\mathbf{ED}} \end{gathered}$$
Then ,

$∆$ ABC $~$$∆$ FED 

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