Question

if AC>AB and AD is the bisector of ∠A,show that ∠ADC>∠ADB.

Answer 1

Given: AC>AB
           and AD is bisector of angle A
⇒angleBAD = angle CAD = Angle A/2
 Also in triangle ABD
angle ABD+ angleBAD + angle ADB = 180 degree
⇒angle ADB = 180-angle ABD + Angle A/2

Now, angle ABD> angle ACD ...(∵ angle opposite to longer side is greater)
⇒angle ABD +angle A/2 > angle ACD + angle A/2
⇒180-angle ACD + angle A/2 > 180-angle ABD +angle A/2
⇒angle ADC > angle ADB

Answer 2

Answer:

Step-by-step explanation: