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Please explain how to identify the acute and obtuse angle bisectors using the angle bisectory formula.

Please explain how to identify the acute and obtuse angle bisectors using the angle bisectory formula. 

Grade:11

1 Answers

Ajay Verma
askIITians Faculty 33 Points
7 years ago
if two lines are:
L1 : a1x + b1y + c1= 0
L2 : a2x + b2y + c2= 0


then eqn of angle bisectors
(a1x + b1y + c1) / {(a1)2 + (b1)2}1/2= +-(a2x + b2y + c2) / {(a2)^2+ (b2)^2}^1/2


we write the eqns of L1 and L2 in that way....that constent terms are positive.
now.. we check..

1. if a1*a2 + b1*b2 > 0
then for taking + sign in bisector formula we get Obtuse angle bisector..
for taking - sign in bisector formula we get acute angle bisector..

2. if a1*a2 + b1*b2 < 0
then for taking + sign in bisector formula we get acute angle bisector..
for taking - sign in bisector formula we get obtuse angle bisector..



thanks and regards.

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