(b) In the figure (ii) given below, D is any point on the side BC of triangle ABC. If
AB > AC, show that AB > AD.
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AD=AC ( Given )
So, ∠ACD=∠ADC [ Angles opposite to equal sides are equal ]
Now ∠ACD is exterior angle of △ABD
∠ADC=∠ABD+∠BAD [ exterior angles sum of interior opposite angles ]
So, ∠ADC>∠ABD
∠ACD>∠ABD ( from (1))
AB>AC [ side opposite to greater angle is longer ]
∴AB>AD ( As AC=AD given )
Hence, proved.
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hope it helps thanks it is easy no it's hard
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