The given figure shows an equilateral triangles ABC and D is point in AC.
Prove that :
(i) ` AD lt BD `
(ii)` BC gt BD `

In the following figure, ABC is an equilateral triangle and P is any point in AC, prove that : (i) BP gt PA (ii) BP gt PC

In the following figure, ABC is an equilateral triangle and P is any point in AC, prove that : (i) BP gt PA (ii) BP gt PC

In triangle ABC, AB gt AC and D is a point in side BC. Show that : AB gt AD .

In triangle ABC, AB gt AC and D is a point in side BC. Show that : AB gt AD .

The given figure shows a quadrilateral ABCD. Prove that : AB+BC+CD+DA gt AC+BD

The given figure shows a Delta ABC in which AB =AC and BP =CQ . Prove that : (i) Delta ABQ ~= Delta ACP . (ii) Delta APQ is isosceles.

ABC is a triangle in which AB = AC and D is any point on BC. Prove that: AB^(2)- AD^(2) = BD. CD

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 isosceles triangle ABC, D is a point on the base BC produced. Prove that AD gt AB .

In the figure, given alongside, AD bisects angle BAC. Prove that : (i) AB gt BD (ii) AC gt CD (iii) AB+AC gt BC