In `squareABCD`, side `AB~=` side AD. Bisector of `/_BAC` cuts side BC at E and bisector of `/_DAC` cuts side CD at F. Prove that set `EF||` seg BD.

DeltaABC is a right triangle right angled at A such that AB = AC and bisector of /_C intersects the side AB at D . Prove that AC + AD = BC .

ABC is a right triangle such that AB=AC and bisector of angle C intersects the side AB at D. prove that AC+AD=BC.

ABCD is a quadrilateral in which AB=AD . The bisector of BAC and CAD intersect the sides BC and CD at the points E and F respectively. Prove that EF||BD.

In the figure,AD is the bisector of angle BAC. Prove that AB>BD.

Delta ABC is a right triangle right angled at A such that AB=AC and bisector of /_C intersects the side AB at D.Prove that AC+AD=BC .

In the figure, seg AB~= seg AC , ray CE bisects /_ACB , ray BD bisects /_ABC . Prove that ray ED|| side BC .

In a triangle ABC, angle bisector of angle BAC cut the side BC at D and meet the circumcircle of Delta ABC at E , then find AB .AC+DE. AE.

The given figure shows a triangle ABC in which AD bisects angle BAC. EG is perpendicular bisector of side AB which intersects AD at point F. Prove that : F is equidistant from AB and AC.

ABCD is a quadrilateral in which AB= AD, the bisector of angle BAC and angle CAD intersect the sides BC and CD at the points E and F respectively. Prove that EF || BD.

ABCD is a quadrilateral in which AB=AD. The bisector of /_BAC AND /_CAD intersect the sides BCandCD at the points EandF respectively.Prove that EF/_BD