For this case, we have that by definition, the triangle similarity theorem related to the angles, establishes that:
- For two triangles to be similar, the angles of one of them must be congruent to the angles of the other triangle.
On the other hand, we have:
- For a pair of triangles to be similar, it is sufficient to have a congruent angle between the proportional sides.
In addition, we have the following side theorem (SSS):
- Two triangles that have the three proportional sides are similar to each other.
ANswer:
Two triangles that have the three proportional sides are similar to each other.