2. D is a on the on the side BCof AABC such that AD = AC.Show that AB

1.	2. D is a on the on the side BCof AABC such that AD = AC.Show that AB > AD.
Answer» In Triangle DAC , AD = AC ( GIVEN ) so, angle ADC = angle ACD (ANGLES OPPOSITE TO EQUAL SIDES ARE EQUAL ) now, angle ADC is an exterior angle for triangle ABD so, angle ADC > angle ABD or , angle ACD > angle ABD or, angle ACB > angle ABC so, AB > AC ( SIDE OPPOSITE TO THE LARGER ANGLE IS LONGEST ) therefor AB > AD (AD =AC)

2. D is a on the on the side BCof AABC such that AD = AC.Show that AB > AD.

Answer»

In Triangle DAC ,

AD = AC ( GIVEN )

so, angle ADC = angle ACD (ANGLES OPPOSITE TO EQUAL SIDES ARE EQUAL )

now, angle ADC is an exterior angle for triangle ABD

so, angle ADC > angle ABD

or , angle ACD > angle ABD

or, angle ACB > angle ABC

so, AB > AC ( SIDE OPPOSITE TO THE LARGER ANGLE IS LONGEST )

therefor AB > AD (AD =AC)