Respuesta :

The perimeter of two similar triangles will be in the same ratio as any of their corresponding sides.
[tex]ED:EA=14:9 \Rightarrow P_{\triangle{CED}}:P_{\triangle{BEA}}=14:9 \Rightarrow P_{\triangle{CED}}=\frac{14}{9}P_{\triangle{BEA}}[/tex]


[tex]P_{\triangle{CED}}=\frac{14}{9}P_{\triangle{BEA}}=\frac{14}{9}\times27=42[/tex]
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