SOLUTION AND PROPERTIES OF TRIANGLE | DIFFERENT CIRCLES AND CENTERS CONNECTED WITH TRIANGLE | (1)What is Circumcenter and Circumcircle of Triangle (2) What are the Position of Circumcentre wrt type of triangle ?, What is the Distance of Circumcenter from vertex of triangle ?, Formulas for Circumradius, Explain Incenter and Incircle. Show incenter is Intersection point of angle bisector, State Angle Bisector Theorem and prove it ., (i) Find the Distance of incenter from vertex (ii)Find the Length of tangent from Vertices to incircle, (i)Find the length of Angle Bisector, Derive the Formula of inradius `(i) Delta / s (ii) (s-a) tan (A/2) (iii) 4R sin (A/2) sin (B/2 )sin (C/2)`, Distance Between Circumcenter and incenter