In triangle ABC, if `AD_|_BC` and `AD^2 = BD*DC`. Then find the angle BAC

In triangle ABC , DE||BC and AD = 1/3 BD . If BC = 4.5cm, Find DE.

In triangle ABC , AB=7 cm, BC = 10 cm, and AC = 8 cm. If AD is the angle bisector of angle BAC , where D is a point on BC, then BD is equal to:

In a triangle ABC , DE||BC and AD = 1/3 BD . If BC = 5.6cm, find DE.

In ABC, if AD perp BC and AD^(2)=BD xx DC, prove that /_BAC=90o

In triangle ABC, AD is perpendicular to side BC and AD^2 = BD xx DC . Show that angle BAC = 90^@ .

In the given if AD = BD = CD , Find angle BAC

A cyclic quadrailatral ABCD is such that AB=BC, AD=Dc AC _|_ BD, angle CAD = theta Then the angle angle ABC

Answer any One question : In triangleABC , AD is perpendicular on BC and AD^2 = BD . DC, prove that angleBAC is a right angle.