Gems of Geometry

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Concept Lecture

Session # 01 : The Laws of Sine

Session # 02 : Ceva's Theorem

Worksheet # 01 : Worksheet on Sine Law and Ceva's Law

Session # 03 : Stewart's Theorem

Session # 04 : Medians of a triangle divide it into six parts of equal areas.

Session # 05 : Medians of a triangle trisect each other

Session # 06 : Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides. Proof using Sine Rule

Worksheet # 02 : Worksheet on Stewart's Theorem and properties of medians of a triangle

Session # 07 : The area of a triangle is equal to the product of the semi-perimeter and the in-radius

Session # 08 : The locus of a point equidistant from two intersecting lines is the angle bisector of the angle between the intersecting lines.

Session # 10 : Some properties of ex-circles and in-circle of a triangle Session # 09 : Theorem: The external bisectors of any two angles of a triangle are concurrent with the internal bisector of the third angle