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Angle Bisectors (Part II)
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We discuss in this video that how we can decide whether an angle bisector is an obtuse angle bisector or an acute angle bisector along with examples.

Sachin Rana is teaching live on Unacademy Plus

Sachin Rana
IIIrd Year UG, IIT Bombay | YouTuber with over 129k subscribers at Sachin Rana [IITB] | Organic Chemistry & Maths Expert.

Unacademy user
To make peace and happiness in the family, there must be accord among all the members
To everyone asking how the angle bisectors became the third side of the triangle, the answer to your question is - No, the angle bisectors are not becoming the sides of the triangle, we are just using its slope.This is only applicable when the unknown third side is subtending equal angles (isosceles triangle). For these particular questions, use basic geometry (vertically opposite angles and alternate angles) and you will know why the slope of angle bisector would be the same of the third(unknown) side. Hope it helps.
Nishant Sarma
4 months ago
can't we just simply use the slope of the bisector to get the slope the side and the point is given and hence its equation which will the same two equations..
Hiba k
2 months ago
wouldn't they incline at 90 degrees, as teh angle bisector would be perpendicular to the third line?
to the last videos homework that you solved, we should get only one line as answer right? because,I understand that there are two angle bisectors to the two given lines, but one angular bisector would be bisecting the 60 degree angle between them and the other will be bisecting the 120 degree angle between them. but as the question says we need an equilateral triangle, the line bisecting the 60 degree angle would be redundant to us. because it will make 30 degree angle with both the lines which will not give us equilateral triangle. but if we take the line bisecting the 120 degree angle, we would get a line which is at 60 degree angle with both the lines and that would definitely form an equilateral triangle. so basically there should be only one answer to the previous videos homework question, right?
Ayush Shivam
a month ago
no actually these lines will form 2 different isosceles a half square cutting from middle
OR a better way is that these bisectors meet on the hypotenuse of other side so we get a point and we know A , we get a line take -1 BY slope and we know point Thats it
sir ,I m also confusing in the equation of side and angle bisector as the homework you solve.... it is asked to find the eqn of side but you find that of angle bisector.. why???
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