(202) 6

Part of 1988 Tournament Of Towns

Problems(1)

TOT 202 1988 Autumn S6 S <=AM x CM + BM x DM, rectangle

Source:

M

is an interior point of a rectangle

ABCD

S

is its area. Prove that

S \le AM \cdot CM + BM \cdot DM

.
(I.J . Goldsheyd)

geometryrectanglegeometric inequality