Question

in triangle ABC,AD is bisector of angle BAC.proove that AB>BD

Answer 1

As AD is bisector of BAC,BAD=CAD

For triangle ADC,ADB is an exterior angle

ADB>CAD (EXTERIOR a gle is greater than each int.opp. angle)

ADB>BAD

AB>BD(side opposite to greater angle is longer)

Answer 2

Answer:

As AD is bisector of BAC,BAD=CAD

For triangle ADC,ADB is an exterior angle

ADB>CAD (EXTERIOR a gle is greater than each int.opp. angle)

ADB>BAD

AB>BD(side opposite to greater angle is longer)