Question

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

Answer 1

The perimeter of two similar triangles will be in the same ratio as any of their corresponding sides.

`ED:EA=14:9 \Rightarrow P_{\triangle{CED}}:P_{\triangle{BEA}}=14:9 \Rightarrow P_{\triangle{CED}}=(14)/(9)P_{\triangle{BEA}}`



`P_{\triangle{CED}}=(14)/(9)P_{\triangle{BEA}}=(14)/(9)*27=42`