MathDB

5

Part of 1997 Akdeniz University MO

Problems(2)

geometric ineq.

Source:

1/30/2016
A ABCABC triangle divide by a dd line such that, new two pieces' areas are equal. dd line intersects with [AB][AB] at DD, [AC][AC] at EE. Prove that AD+AEBD+DE+EC+CB>14\frac{AD+AE}{BD+DE+EC+CB} > \frac{1}{4}
geometric inequalitygeometry
geometry

Source:

1/30/2016
An ABCABC triangle divide by a dd line such that, new two pieces' areas and perimeters are equal. Prove that ABCABC's incenter lies dd
geometryperimeterincenter