ABC is a triangle. D is a point on AB such that `AD=(1)/(4) AB` and E is a point on AC such that `AE =(1)/(4) AC` . Prove that `DE= (1)/(4)BC` .

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 DeltaABC, AB = AC, D is a point on BC such that angleBAD = 50^@ and a point E on side AC such that AE = AD find angleCDE .

In Figure,AD=AE and D and E are points on BC such that BD=EC .Prove that AB=AC

In a Delta ABC, AB=AC, D is a point BC such that angle BAD=50^(@) and a point E on side AC such that AE =AD find angle CDE

D is a point on side BC of Delta ABC such that AD=AC. Show that AB>AD

For a triangle ABC ,D and E are two points on AB and AC such that AD=(1)/(4)AB,AE=(1)/(4)AC . If BC = 12 cm, then DE is

If D is a point on the side AB of Delta ABC such that AD:BD=3:2 and E is a point on BC such that DE||AC , find the ratio of the areas of Delta ABC and Delta DBE

Delta ABC is a right triangle right angled at A such that AB=AC and bisector of /_C intersects the side AB at D.Prove that AC+AD=BC .