On incircles in triangles and quadrangles

• Main Authors: Denoga, Gerald L., Sianghio, Michael H.
• Format: text
• Language: English
• Published: Animo Repository 1996
• Subjects: Triangles; Finite generalized quadrangles; Geometry, Plane; Circle
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16304
• Institution: De La Salle University

This paper discusses basic properties of incircles in triangles and quadrangles. In particular, it will be shown that (1) Let P be a point on the side BC of a triangle ABC and let r, r2, r3, be the inradii of the triangles ABC, ACP, ABP, respectively. Then 1/2 + 1/3 - 1/2r3 = 2/ha where ha is the al...