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# Ratios in Similar Triangles

ACTMAT-6XVFYW

In the figure below:

$${\Delta}CDE \sim {\Delta}BDF \sim {\Delta}ADG$$

...the ratio of the area of ${\Delta}ADG$ to the area of ${\Delta}CDE$ is $49 : 4$, and the ratio of the perimeter of ${\Delta}BDF$ to the perimeter of ${\Delta}CDE$ is $5 : 2.$

What is the ratio of the length of ${\overline{AB}}$ to the length of ${\overline{BC}}$?

A

${1:1}$

B

${2:3}$

C

${2:7}$

D

${6:39}$

E

${7:2}$