To solve this we going to need the Perpendicular bisector theorem
This theorem says:
The perpendicular bisector bisects the given line segment into two equal parts, to which it is perpendicular. For a triangle, if a perpendicular bisector is drawn from the vertex to the opposite side, it divides the side into two congruent segments.
With the last part, we can say that both segments are congruent
Also, the Internal angle bisector theorem that says:
The angle bisector of a triangle divides the opposite side into two parts proportional to the other two sides of the triangle.
If both segments have the same angle they are congruent
Answer: 7