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In general, they are not. In an isosceles triangle, the perpendicular bisector of the base is the same as the bisector of the angle opposite the base. But the other two perp bisectors are not the same as the angle bisectors. Only in an equilateral triangle is each perp bisector the same as the angle bisector of the angle opposite.
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Which type of triangle will always have 3 angle bisectors that are also perpendicular bisectors?
equalateral
How can you find the center of a regular polygon?
You can find the intersection of the angle bisectors or the intersection of the perpendicular bisectors of each side.
Are the angle bisectors of a regular polygon sometimes concurrent?
The angle bisectors of a regular polygon are always concurrent. And the point that they meet at is also the meeting point of the perpendicular bisectors of the sides. If it is a polygon with an odd nmber of sides, the "medians" [line from vertex to mid-point of opposite side] and "altitudes" [perpendicular from vertex to opposite side] will also meet at the same point.
In ABC the angle bisectors meet at point D. Point E is on and is perpendicular to . Point F is the location where the perpendicular bisectors of the sides of the triangle meet. What is the radius of t?
The radius is DE
How many perpendicular bisectors does an equilateral triangle have?
Equilateral triangles have 3 perpendicular bisectors
