In following figure if AD if the bisector of `angleABC,` then prove th – InterviewSolution

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1.	In following figure if AD if the bisector of `angleABC,` then prove that `AB gt BD`
Answer» Given ABC is a triangle such that AD is the bisector of `angleABC` To Prove `AB gt BD` Proof Since ,AD if the bisector of `angleBAC.` `therefore " "angleBAD =CAD " "….(i)` `" But " " "angleADB gt angleCAD ` [exterior angle of a triangle is greater than each of the opposite interior angle ] ` therefore " "angleABD gt angle CAD " "["from Eq.(i)"]` `rArr " " AB gt BD " "["side opposite to greater angle is longer "]`

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