Given triangle FGH and line GJ such that line GJ bisects ∠FGH and is a perpendicular bisector of FH.
For the bisector of an angle of a triangle to be a perpendicular bisector of the oppose side, it means that the triangle is an isosceles triangle with the angle bisected in-between the two equal sides of the isosceles triangle.
Thus line FG = line GH meaning the TG is congruent to GH.
Also, since GJ is a perpendicular bisector of FH at J, it means that line FJ is equal to line HJ and hence, FJ is congruent to HJ.
Therefore, the true statement about triagle FGH is that it has exactly 2 congruent sides.