The image you uploaded contains a mathematical question in Persian. It appears to be about geometrical properties of triangles, and it includes some ratios and angles related to triangle sides and their proportionality.

I will translate and explain the problem in detail:

Problem:

There are two conditions to consider about two triangles:

1. Condition 1:

   • If one triangle has its angles and side lengths proportional to a second triangle in the form of a similar triangle, i.e., the ratio of the sides between the two triangles is constant, then we are to find the ratio between certain lengths (given by fractions in the choices below).

2. Condition 2:

   • In the second scenario, there is another similar condition involving proportionality between the sides and angles. Here too, we need to determine which ratio corresponds to the proportional relationship given in the problem.

The fractions and square roots likely represent the relationships to be examined for similarity and proportionality.

I will now calculate and analyze it. Do you want to proceed with further analysis of these conditions to find the correct ratio or any other clarification?