Q. 64.3( 20 Votes )

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Answer :

Given: AD is bisector of BAC


To Prove: AB > BD


Proof: AD is bisector of BAC


BAD = DAC …..(1)


Now, In ΔADC, ADB is the exterior angle


ADB > DAC ..(2) [exterior angle of a triangle is greater than each


of the opposite interior angles]


Substituting DAC = BAD in (2)


ADB > BAD


AB > BD [side opposite to larger angle is larger]


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