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Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
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Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

User Ivcubr
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The triangle will always have a perpendicular bisector that is also an angle bisector is right scalene. 
User IISkullsII
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