Answer:
Incentre
Explanation:
A triangle is a closed area in a plane bounded by three lines known as sides of a triangle.
There will be 3 angles in a triangle.
Consider the point of concurrency of three bisectors.
Let ABC be one triangle and AI and BI are bisectors of A and B meeting at I.
Then we have since AI is angle bisector of A, I would be equidistant from sides BA and AC. Similarly since BI is angle bisector of B, I would be equidistant form BC and BA.
It follows that I is equidistant from all the sides, and hence a centre can be drawn touching all sides of the triangle.
The circle is called in circle and the point I, the point of concurrency of the angle bisectors of a triangle, is the incentre of the triangle.