munnynarang wrote:Isosceles maximizes area
true in *this* problem (with the specific restrictions given here), but not true in general.
for instance, if you have a fixed perimeter for the triangle but *no* restrictions on it, then an equilateral triangle has the greatest possible area.
Equilateral maximizes perimeter
again, dependent on the conditions of the problem.
(and i suppose you meant "minimizes" -- it's not really possible to *maximize* a perimeter in most cases; you could just make a really long, skinny triangle with a perimeter as large as you want)