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

Theory

Step-by-step 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

2425

step-by-step explanation:

1) letter c.

2) 4 square root of 9

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step-by-step explanation: