Difference between revisions of "Gems of Geometry"
(→Concept Lecture) |
(→Concept Lecture) |
||
Line 19: | Line 19: | ||
[https://youtu.be/6bChHjMmqgU/ Session # 08] : The locus of a point equidistant from two intersecting lines is the angle bisector of the angle between the intersecting lines. | [https://youtu.be/6bChHjMmqgU/ Session # 08] : The locus of a point equidistant from two intersecting lines is the angle bisector of the angle between the intersecting lines. | ||
+ | |||
+ | [https://youtu.be/p3E10o-S4Qg/ Session # 09] : Theorem: The external bisectors of any two angles of a triangle are concurrent with the internal bisector of the third angle |
Revision as of 22:14, 24 December 2019
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 # 09 : Theorem: The external bisectors of any two angles of a triangle are concurrent with the internal bisector of the third angle