Explain Incenter and Incircle. Show incenter is Intersection point of angle bisector

Incentives

Incenter of a Triangle

In a triangle ABC, perpendicualr distance of BC from the point of intersection of angle bisector of angleB and angleC is……………..

Distance Between Circumcenter and incenter

The point of intersection of the angle bisectors of a triangle is :

What is the Distance between Incenter and excenter?

What is pedal triangle In acute angle triangle (orthocenter of ABC is Incenter of Pedal Triangle.)?