what are the properties of perpendicular bisectors and angle bisectors in a triangle?

Answer:TheoryStep-by-step explanation:The Perpendicular Bisectors in a triangle,(as the name suggests) perpendicularly bisect the sides of triangleThe point at where all 3 meet is called the CircumcenterThe 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 triangleThe 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 IncenterThe 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 triangleThe angle bisector divides the side it intersects in the ratio of the ratio of other 2 sides