7

Part of 1999 Moldova Team Selection Test

Problems(1)

Show that $S$ and $S^{'}$ are disjunctive.

Source: Moldova TST 1999

ABC

be an equilateral triangle and

n{}, n>1

an integer. Let

S{}

be the set of the

n-1

lines parallel with

BC

ABC

n{}

figures with equal areas and

S^{'}

be the set of the

n-1

lines parallel with

BC

ABC

n{}

figures with equal perimeters. Show that

S{}

S^{'}

are disjunctive.

geometryperimeter