Solve the question very fast

Use the following information to answer the next question.
In the given figure, $∆\mathrm{ABC}$ is equilatera and BC||EG||AD. E is the mid-point of BD.

If AD = 5 cm, BD = 12 cm, then the lengths, AD, EG, and BC, are in the ratio
(A) 5:6:9
(B) 5:10:13
(C) 5:9:13
(D) 25:13:26