Geometry-Properties of Angle Bisector And Incentre For [SSC] [CSAT] Part-16 скачать в хорошем качестве

Geometry-Properties of Angle Bisector And Incentre For [SSC] [CSAT] Part-16

In this video we will discuss the theorems and some useful properties Angle bisector and Incentre of a triangle. Angle Bisector : A line segment joining vertex to opposite side such that it bisect the vertex angle. Properties of angle bisector :- • In equilateral triangle all the three angle bisectors are equal in length. • In equilateral triangle angle bisector, per¬pendicular and median are same line segment. • In isosceles triangle angle bisectors drawn from equal angles are equal in length and • angle bisec¬tor drawn from unequal angle is also perpendicular and median. • In scalene triangle all the three angle bisectors are unequal in length. • Angle bisector lie always inside of Δ. Incentre : The point of intersection of the internal bisectors of the angles of a triangle is called its incentre. Properties of Incentre Following are the Properties of Incentre: • Theorem - Incenter is equidistant from all the sides of the triangle. • Angle between line segment joining the incentre and two vertex is equal to sum of half of third vertex angle and right angle. • The angle between the external bisector of two angles of a triangle is difference between right angle and half of the third angle. • In any triangle incentre lie inside of the triangle. • The ratio of area of triangle formed by incentre and three vertex are in ratio of their corresponding sides. • Incentre divides each angle bisector in the ratio of length of sum of two adjacent side and opposite side. AI : ID = b + c : a ; BI : IE = a +c : b : CI : IF =a +b : c Incircle : A circle inside of triangle touches all the three sides of triangle and its centre is incentre of triangle. Inradius r = Area of Triangle / Semi perimeter of the triangle Area of Triangle = Inradius * Semi perimeter of triangle = r * s Inradius of a right angled triangle right angle at B = AB + BC – AC divided by 2 ;where AC is hypotenuse 1-2 questions asked in the examinations like SSC CGL T-I and T-II, SSC CHSL (DEO) LDC, CAPF , SSC CPO S.I Exam , FCI Assistant Grade –III ,SSC CISF ASI, SSC Constable, Delhi Police, SSC multi Tasking Staff examination ,SSC Data Entry Operator Exam , SSC Section Officer (Commercial Audit ), IBPS P.O exam, SBI P.O,LIC AAO, GIC AAO , IB Exam, RBI Grade –B, IBPS Cleark , SBI Cleark, CLAT Exam , Railways,RRB Technical( LOCO) and Non technical exam, CTAT , DASS and other objective examination. Following are some useful links :- Youtube link https://goo.gl/ouHhkm ; www.educomiq.com Twitter   / educomiq   Blog http://educomiq.blogspot.in Playlist of youtube videos link for quick access :- Mixture and alligation https://goo.gl/XgPkWS Average https://goo.gl/opbg2b Pipe and cistern https://goo.gl/UhWytt Time and Work https://goo.gl/wWF381 Percentage https://goo.gl/CM83JD LCM and HCF https://goo.gl/Gp9fRL Vedic Maths https://goo.gl/MtDdTh Profit and Loss https://goo.gl/5Bd9R6 Ratio & Proportion https://goo.gl/k1RNcm Time and distance; https://goo.gl/NWNZB6 Boat and Stream https://goo.gl/UYdvYk Previous years questions https://goo.gl/Pir6SM Partnership https://goo.gl/Uk3aXs SI and CI https://goo.gl/UGaJfQ Race and Games https://goo.gl/7nueLZ Indices and Surds https://goo.gl/57QgT6 Trains Concept https://goo.gl/87xrDg Channel being conceptualize by Amit Arun himself faculty of Maths in Delhi and an M.B.A graduate cracked several banking P.O examination including S.B.I Salient features of EducomiQ ; • Each topics has been covered with typewise questions and answers. • Basic Concepts discussed in details. • Keeping in mind the vast majority of students from non math background. • After concept clearity tricks have been discussed for every questions. I hope this channel will really be Partner in your success and strive to help you prepare for the challenges of objective online and offline examination. Thanks for watching Amit Arun