I would appreciate if somebody could help me with the following problem:

Question: $A,B,C$ satisfy (1), (2)

(1). $A+B+C=\pi(0< A,B,C< \pi)$

(2). $\sin 2A: \sin 2B: \sin 2C= 5:12:13$

Find $A$ ?

I tried by using propertyof triangle function formula but couldn’t get it that way.