Question

In the given fig . AD Bisects angle A and AD perpendicular BC. (I). Is ∆ ADB,,=~∆ADC. (ii) . state the conditions of congruence. (b). construct an equilateral triangle with side 5cm.​

Answer 1

Step-by-step explanation:

( i )GIVEN : AD perpendicular BC so BD =DC

AD bisects angle A

TO PROVE : Triangle ADB =~ Triangle ADC

PROOF :In triangle ADB and triangle ADC

AD=AD (common )

BD=DC (GIVEN)

angle ADB = angle ADC (AD perpendicular BC and make right angle)

∆ADB=~∆ADC (by SAS RULE)

CPCT angle ADB =angle ADC