If a hyperbolic triangle has three equal angles, are its sides necessarily equal to each other?

I have a feelingg the answer is no but I'm not exactly sure how to go about this.

Edit: Okay, so I have an idea that for any hyperbolic triangle ABC with sides a, b, and c, the following equalities hold:

$\displaystyle \frac{\sin A}{\sinh a} =\frac{\sin B}{\sinh b} = \frac{\sin C}{\sinh c}$

So if the angles are equal we have $\displaystyle \sinh a = \sinh b = \sinh c$ but I am not sure if this makes $\displaystyle a=b=c$.