In the adjoining figure, ABC is a triangle and D is any point in its interior. Show that `BD+DC lt AB +AC`.

In the adjoining figure, ABC is an isosceles triangle in which AB = AC. Also, D is a point such that BD = CD. Prove that AD bisects /_ A and /_D

In the given figure, ABD is a triangle right angled at A and AC bot BD . Show that AC^(2)= BC*DC

In the adjoinng figure,Delta ABC is an isoceless triangle in which AB=AC .Also,D is a point such that BD=CD. Prove that AD bisects /_A and /_D.

In the adjoining figure,E is a point on the median AD of a Delta ABC. Show that ar (Delta ABE)=(Delta ACE)

D is any point on side AC of a Delta ABC with AB= AC .then

In the adjoining figure, ABCD is a quadrilateral. Its diagonals AC and BD intersect at point 'O'. Prove that : (a) AB+BC+CD+DA lt 2(AC+BD) (b) AB+BC+CD+DA gt (AC+BD)

In the adjoining figure, ABCD is a quadrilateral. Its diagonals AC and BD intersect at point 'O'. Prove that : (a) AB+BC+CD+DA lt 2(AC+BD) (b) AB+BC+CD+DA gt (AC+BD)

In the adjoining figure, ABC is a triangle in whcich AB=AC. If D and E are poitns on AB and AC respecrtively such that AD=AE, show that the points B,C,E and D are concyclic.

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is the bisector of angleA . Prove that: BD = CD

In the figure given below ABC is a triangle right angled at A and AC bot BD . Show that AD^(2) = BD xx DC