in the figure , AD is the bisector of angle BAC Prove that AB BD - Maths - Triangles

Question

in
the figure , AD is the bisector of angle BAC Prove that AB
> BD

Manbar Singh · Accepted Answer

In ∆ABC, since AD bisects ∠BAC, then∠BAD = ∠CAD    
1Now, we know that exterior angle of a ∆ is greater than each of its interior opposite angle
So, ∠ADB > ∠CAD⇒∠ADB >∠BAD  using 1In ∆ABD,∠ADB >∠BAD⇒AB > BD  Sides opposite to greater angle is longer

in the figure , AD is the bisector of angle BAC.Prove that AB > BD.