1.

. In the given fig, AD is bisector of angleA of AABC.Show that AB> BD.

Answer»

If AD is the bisector of ∠A of triangle ABC, show that AB>DB.Given AD is the bisector of ∠A of triangle ABCHence ∠DAB=∠DAC∠BDA is the exterior angle of the ∆DACHence ∠BDA> ∠DACor ∠BDA > ∠DAB Since ∠DAC=∠DAB→ AB > BD In a triangle sides opposite to greater angle is greater.



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