June 26, 2019

The **angle bisector** is the **line** that passes through the **vertex** of the angle and divides it into **two equal parts**.

### Drawing Angle Bisectors I

1Draw an arc corresponding to the angle by using the vertex as the pivot point for the compass.

2From both ends of the drawn arc (where the arc meets the arms of the angle), draw equal arcs from each of the intersecting points.

3Draw a straight line from the point of intersection of the arcs and the vertex of the angle.

### Drawing Angle Bisectors II

1.Draw a circle of any size using the vertex of the angle as the centre of the circle.

2.At the point of intersection of the circle and the arms of the angle, draw two smaller circles with the same radius.

3.The line that passes through the vertex of the angle and one of the points of intersection of the circles is the angle bisector.

The angle bisectors of a triangle are each one of the lines that divide an angle into two equal angles.

### Incenter

The **incenter** is the point of intersection of the three angle bisectors.

The **incenter** is the center of the circle inscribed in the triangle.

What is relationship between centroid, orthocentre and circumcentre

Hello Jaswanth,

Let’s suppose a triangle with A as its orthocenter, B as its circumcenter, and C as its centroid.

The first relation will be that all the points will be in a straight line (i.e collinear).

The second relation will be that the centroid point divides the distance from the orthocentre to the circumcentre in the ratio 2:1. In easy words, AC/BC = 2:1.

i really loved this site as it helped me a lot in a math project and generally in my life . i really love math and when i grow up i would like to be an engineer

Hello Emma, I am a math teacher too: retired ; I wanted to ask you how can I tutor ?