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Step-by-step explanation:
If angles are divided in same ratio than their opposite sides are also divided in same ratio in triangle
So,AF=BF
AE=EC
BD=CD
So,BF×AE×CD=AF×EC×BD
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Answer:
Here, BF = AF --- (i) [•.• OF is the bisector of /_AOB]
CD = BD --- (ii) [•.• OD is the bisector of /_BOC]
AE = CE --- (iii) [•.• OE is the bisector of /_AOC]
Multiplying (i), (ii) & (iii) =》
BF × CD × AE = AF × BD × CE
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