AD is a median of triangle ABC the bisectors of Angle ADB and angle ADC meet at AB and AC in E and F respectively.prove that EF parallel to BC
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Heyaa♡♡
In ΔDAB, DE bisects ∠ADB
∴ DA/ DB = AE/EB -- (1)
In ΔDAC, DF bisects ∠ ADC
∴ DA/DC = AF/FC
=> DA/DB = AF/ FC --- (2)
From (1) and (2) we will get
AE/EB = AF/FC
In ΔABC
EF║BC
Hope it helped you.
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