Answer:
Theory
Explanation:
The Perpendicular Bisectors in a triangle,(as the name suggests) perpendicularly bisect the sides of triangle
The point at where all 3 meet is called the Circumcenter
The distance of the Circumcenter from any vertex is same and is equal to circumradius(R)
If a circle is drawn with Circumcenter as center and R as radius, it circumscribes the triangle
The Angle Bisectors in a triangle, are dropped from the vertex to the opposite side.(as the name suggests) It bisects the angle at the vertex of the triangle.
The point at where all 3 meet is called The Incenter
The distance of the Incenter from any of the sides is same and is equal to Inradius(r)
If a circle is drawn with Incenter as center and r as radius,it inscribes the triangle
The angle bisector divides the side it intersects in the ratio of the ratio of other 2 sides