Çözüldü Similar Triangles - Rules of Proportionality

https://i72.servimg.com/u/f72/19/97/10/39/simila10.png
https://www.murrieta.k12.ca.us/cms/...y/Domain/1702/SAT Math Prep Course Packet.pdf (The last question with no answer or solution)

|CT| / |DG| = |AT| / |GO| = |AC| / |DO| = 2 / 7
Applying the related rule of proportionality;
( |CT| + |AT| + |AC| ) / ( |DG| + |GO| + |DO| ) = Perimeter(ΔACT) / Perimeter(ΔDGO) = 2 / 7.

Numerical Testing:
|CT| = 2 cm ⇒ |DG| = 7 cm
|AT| = 1 cm ⇒ |GO| = 7 / 2 cm
|AC| = 1 / 2 cm ⇒ |DO| = 7 / 4 cm
Perimeter(ΔACT) = 2 + 1 + 1 / 2 = 7 / 2 cm
Perimeter(ΔDGO) = 7 + 7 / 2 + 7 / 4 = 49 / 4 cm
Perimeter(ΔACT) / Perimeter(ΔDGO) = 7 / 2 cm / (49 / 4 cm) = (7 / 2)·(4 / 49) = 2 / 7.