2. In , AD is the perpendicular bisector of BC (see Fig). Show that is an isosceles triangle in which .
Consider ABD and ADC,
(i) (Common in both the triangles)
(ii) (Right angle)
(iii) (Since AD is the bisector of BC)
Thus by SAS congruence axiom, we can state :
Hence by c.p.c.t., we can say that :
Thus is an isosceles triangle with AB and AC as equal sides.
Create Your Account