AD is an altitude of an isosceles triangle ABC in which AB=AC.Show that 

( i )AD bisects BC

(ii) AD bisects angle A.

Asked by Nagu.sahukar1543 | 14th Nov, 2018, 08:11: AM

Expert Answer:

 
begin mathsize 16px style In space increment BAD space and space increment CAD
angle ADB equals angle ADC space space space space space space space space space space space space space space space space AD space is space an space altitude
AB space equals space AC
AD equals AD
increment BAD space approximately equal to space increment CAD space space space space space space space space space space space space By space RHS
BD equals CD space space space space space space space space space space space space space space space space space space space space space space space space space space space CPCT
Hence space AD space bisect space BC
angle BAD equals angle CAD
Hence space AD space bisects space angle straight A
end style

Answered by Sneha shidid | 14th Nov, 2018, 02:21: PM