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You are here: Home / Category Index / Line Geometry / The Bisectors Of Angles.
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The Bisectors Of Angles. - By Cliodhna Kelly
How to use this applet:If you want to use it to solve problems Click with the mouse on the coordinate button .A page will appear with empty boxes for your coordinates .Click with the mouse in each box and type in the required value .Now click on the answer button to get your answer .To return to the main page click on reset .If you want a short description of the concept click on explanation .Again to return to the main page click on reset .To see an image of the concept click on image .Once again to return to main page click on reset.Notes on the maths used in the applet:The bisector of an angle uses the perpendicular distance formula.
Why? We have two lines that intersect .The angle at the point of intersection is cut exactly in half by the bisector.
Therefore the perpendicular distances from each line to the bisector are exactly equal.
The perpendicular distance formula from a point is a1x+b1Y+c1(a1^”+b1^2)*-.5 and a2x+b2Y+c2(a2^2+b2^2)*-.5
Therefore the equation we use is a1x+b1Y+c1(a1^”+b1^2)*-.5 and a2x+b2Y+c2(a2^2+b2^2)*-.5
This concept does not come up in its own right as a question but is important for other concepts such as the incentre of a triangle
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