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Let the sides be a,b,c,(opposite to BC,AC,AB): Let the angle be enclosed at vertex A.Let R be the length of the angle bisector.
The formula to find R is:

  • cb= R*R + ([{(c-b)(c-b)-2bc.(cos A-1)}^1/2]/c+b)^2.cb
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Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

An isosceles triangle will always have a perpendicular bisector that is also an angle bisector. In an isosceles triangle, the two sides are of equal length, and the perpendicular bisector of the base (the unequal side) also divides the vertex angle into two equal angles, thus serving as an angle bisector as well.


What are each point on the bisector of an angle that is equidistant from the sides of the angle?

Every point on the bisector of an angle is equidistant from the sides of that angle. It is understood that the distance of a point from a line is the length of the perpendicular dropped from the point to the line.


What is the difference between and angle bisector and a perpendicular bisector?

An angle bisector bisects an angle. A perpendicular bisector bisects a side.


Does rhombus have angle bisector?

Any shape which has an angle can have an angle bisector.


What is the relationship between segment EB and segment FB in the construction of an angle bisector?

In the construction of an angle bisector, segment EB is equal in length to segment FB when the bisector is drawn from the vertex of the angle to the opposite side. This is because the angle bisector divides the angle into two equal parts, and the segments on either side of the bisector are proportional to the adjacent sides of the angle. Therefore, EB and FB maintain a specific ratio that reflects the lengths of the other two sides of the triangle formed.

Related Questions

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

An isosceles triangle will always have a perpendicular bisector that is also an angle bisector. In an isosceles triangle, the two sides are of equal length, and the perpendicular bisector of the base (the unequal side) also divides the vertex angle into two equal angles, thus serving as an angle bisector as well.


What are each point on the bisector of an angle that is equidistant from the sides of the angle?

Every point on the bisector of an angle is equidistant from the sides of that angle. It is understood that the distance of a point from a line is the length of the perpendicular dropped from the point to the line.


If a point is equidistant from the two sides of an angle then it is?

on the perpendicular bisector


What is the difference between and angle bisector and a perpendicular bisector?

An angle bisector bisects an angle. A perpendicular bisector bisects a side.


Does rhombus have angle bisector?

Any shape which has an angle can have an angle bisector.


What is the relationship between segment EB and segment FB in the construction of an angle bisector?

In the construction of an angle bisector, segment EB is equal in length to segment FB when the bisector is drawn from the vertex of the angle to the opposite side. This is because the angle bisector divides the angle into two equal parts, and the segments on either side of the bisector are proportional to the adjacent sides of the angle. Therefore, EB and FB maintain a specific ratio that reflects the lengths of the other two sides of the triangle formed.


What is bisector angle?

the bisector of angle is the half of the measurment of the angle given. FOR EXAMPLE:- 45 degrees is a bisector angle of 90 degrees e.t.c.


What divides an angle into 2 congruent angles?

An Angle Bisector


What describes an angle bisector?

An angle bisector is a line that divides an angle in half.


What divides an angle into two congruent angles?

angle bisectorangles bisector is the line that divides an angle into two congruent angles.


What is the converse of the angle bisector theorem?

If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle-apex


What is an angle bisector theorem?

a point on the bisector of an angle, it is equidistant from the 2 sides of the angle