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If the bisector of angle a,b,c, and d all meet at o.then what is angle aob equal to
If the bisector of angle a,b,c, and d all meet at o.then what is angle aob equal to
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OA/OB =AD/DB---------------eq(1) Theorem used here
[The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle]
In ∆BOC .OE is the bisector of angle BOC
OB/OC = BE/EC---------eq(2)
In ∆COA, OF is the bisector of angle COA
OC/OA =CF/FA-----------eq(3)
Multiplying eq 1, 2, 3
(OA/OB) * (OB/OC) * (OC/OA) = (AD/DB) * (BE/EC) * (CF/FA)
1= (AD/DB) * (BE/EC) * (CF/FA)
DB*EC*FA = AD*BE*CF-----------------------------------------------------------------------------------------------------
AD*BE*CF = DB*EC*FA---------------------------------------------------------------------------------------------------Hope this will help you.....