which type of triangle will always have a perpendicular bisector that is also an angle bisector?\n○ right\n○…

which type of triangle will always have a perpendicular bisector that is also an angle bisector?\n○ right\n○ scalene\n○ obtuse\n○ equilateral

which type of triangle will always have a perpendicular bisector that is also an angle bisector?\n○ right\n○ scalene\n○ obtuse\n○ equilateral

Answer

Brief Explanations:

In an equilateral triangle, all sides are equal and all angles are (60^\circ). The perpendicular bisector of any side will also bisect the opposite angle because of the symmetry and equal side - angle relationships. For a right triangle, scalene triangle, or obtuse triangle, this property does not hold for all perpendicular bisectors. A scalene triangle has all sides of different lengths, so the perpendicular bisector of a side won't necessarily bisect the opposite angle. A right triangle and an obtuse triangle (unless they are also equilateral, which they aren't by definition) don't have this property for all their perpendicular bisectors.

Answer:

D. equilateral