The Relationship Between An Equilateral Triangle’S Perpendicular Bisector And Angle Bisector – Explained.

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

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An equilateral triangle will always have a perpendicular bisector that is also an angle bisector.

An equilateral triangle is a triangle in which all three sides are of equal length. Since all sides are of equal length, each angle of an equilateral triangle is 60 degrees.

The perpendicular bisector of a side of an equilateral triangle passes through the midpoint of that side and is perpendicular to it. Since all three sides of an equilateral triangle are of equal length, the perpendicular bisector passes through the vertex opposite that side and bisects the angle at that vertex. Thus, the perpendicular bisector serves as an angle bisector as well in the case of an equilateral triangle.

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