In a scalene triangle ABC ,AD and BE are medians F is a point in AC so that DF//BE. Show that : AC = 4` xx ` EF.

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 following figure shows a triangle ABC in which AD and BE are perpendiculars to BC and AC respectively. Show that : CA xx CE = CB xx CD

The following figure shows a triangle ABC in which AD and BE are perpendiculars to BC and AC respectively. Show that : CD xx AB = CA xx DE

In triangle ABC, D is a point in side AB such that AB = 4AD and E is a point in AC such that AC = 4AE. Show that BC : DE = 4:1

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

In an isosceles triangle ABC, AB = AC and D is a point on BC produced. Prove that : AD^(2)=AC^(2)+BD.CD

ABC is a triangle in which AB = AC and D is a point on AC such that BC^2 = AC xx CD .Prove that BD = BC .

In a triangle ABC, AD is a median and E is mid-point of median AD. A line through B and E meets AC at point E. Prove that : AC = 3AF Draw DG parallel to BF, which meets AC at point G.

The following figure shows a triangle ABC in which AD and BE are perpendiculars to BC and AC respectively. Show that : Delta ADC ~ DeltaBEC