 |
| Concurrency of the angle bisectors of a triangle |
|
| Draw a triangle ABC. Draw its angle bisectors. The angle bisectors pass through a point. |
| |
 |
| |
| Recall the procedure to draw angle bisectors: |
| |
 With B as centre and with a convenient radius draw an arc of a circle to cut AB and AC at X and Y. |
| |
 With X and Y as centres and radius equal to more than half of XY draw arcs of circles to intersect at S. Join BS. |
| |
 BS is the angle bisector of B. |
| |
 |
| |
 The angle bisectors pass through a common point (I). This point is called "Incentre". |
| |
|
| The incentre is equidistant from its sides. |
| |
