MathDB

Maximising the area

Source: Tournament of Towns,Spring 2002, Junior A Level, P3

May 13, 2014

geometrygeometry proposed

Problem Statement

Let

E

and

F

be the respective midpoints of

BC,CD

of a convex quadrilateral

ABCD

. Segments

AE,AF,EF

cut the quadrilateral into four triangles whose areas are four consecutive integers. Find the maximum possible area of

\Delta BAD