191

Part of 1974 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 191 All Soviet Union MO 1974 diagonal of convex hexagon longer than

Source:

a) Each of the side of the convex hexagon is longer than

1

. Does it necessary have a diagonal longer than

2

?
b) Each of the main diagonals of the convex hexagon is longer than

2

. Does it necessary have a side longer than

1

hexagondiagonalgeometryconvex