The side BC of triangles ABC is produced to D so that CD = AC . If the angle BAD `= 109 ^(@) and ` the ACB ` = 72^(@) ` prove that BD is greater than AD.

In triangles ABC , AD is perpendicular to BC and AD^(2) = BD xx DC . Prove that angle BAC = 90 ^(@)

D is a point in side BC of triangle ABC. If AD gt AC , show that AB gt AC .

In the given I is the incentre of triangle ABC. AI produced meets the circumcircle of triangle ABC at point D. Given that angle ABC = 48^(@) and angle ACB = 72^(@), calculate: angle CBD

In the given I is the incentre of triangle ABC. AI produced meets the circumcircle of triangle ABC at point D. Given that angle ABC = 48^(@) and angle ACB = 72^(@), calculate: angle BCD

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

AD is a median of triangle ABC. Prove that : AB+BC+AC gt 2AD

The sides AB and AC of a triangle ABC are produced, and the bisectors of the external angles at B and C meet at P. Prove that if AB gt AC , then PC gt PB .

In a triangle ABC,D is the mid - point of BC, AD is produced upto E so that DE = AD. Prove that : AB=EC

In Delta ABC, AB = AC and D is a point an side AC such that AD = BD = BC . Show that : angle ADB = 108 ^(@)

In a triangle ABC, /_ABC=45^@ and a point D is on BC such that 2BD=CD and /_DAB=15^@ then /_ACB=