## What is the perpendicular bisector formula?

Thus the equation of the perpendicular bisector is x−y−2=0. Note: In the above problem, we have used point slope form to find the equation of line.

What is a perpendicular bisector of a triangle?

The perpendicular bisectors of a triangle are lines passing through the midpoint of each side which are perpendicular to the given side. A triangle’s three perpendicular bisectors meet (Casey 1888, p. 9) at a point. known as the circumcenter (Durell 1928), which is also the center of the triangle’s circumcircle.

### How do you find the length of a bisector in a triangle?

The length of the angle bisector of a standard triangle such as AD in figure 1.1 is AD2 = AB · AC − BD · DC, or AD2 = bc [1 − (a2/(b + c)2)] according to the standard notation of a triangle as it was initially proved by an extension of the angle bisector up to the circumcircle of the triangle.

What is perpendicular bisector with example?

A median is defined as a line segment from a vertex of a triangle to the midpoint of the side opposite that vertex. So, if the median joins the opposite side at 90 degrees, it will be the perpendicular bisector of that side. For example, for an equilateral triangle, the medians are always perpendicular bisectors.

#### Is perpendicular bisector the same as midpoint?

A perpendicular bisector of a line segment passes through the midpoint of the line segment and intersects the line segment at @\$90^\circ@\$. A segment bisector is a line (or part of a line) that passes through the midpoint.

Is angle bisector perpendicular?

An example of an angle bisector is a triangle bisector theorem which describes the perpendicular bisector of a triangle. A bisector which bisects any angle of a triangle is known as triangle bisector. It is a line segment which has its other endpoint on the opposite side of the angle which is bisected.