jasmarttingangor jasmarttingangor

08-11-2016
Mathematics

contestada

In the figure, AB is parallel to CD, If ED:EA = 14.9 and hte perimeter of BEA is 27, find the perimeter of CED.

A.17.4
B.38
C.42
D.65.3

Respuesta :

alsteva alsteva

12-11-2016

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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