SOLUTION: My problem is a square thats 24ft by 35ft and needs to keep the area into a triangle and wants the smallest perimeter. So im asking for all possible dimensions for the triangles (h

Algebra ->  Triangles -> SOLUTION: My problem is a square thats 24ft by 35ft and needs to keep the area into a triangle and wants the smallest perimeter. So im asking for all possible dimensions for the triangles (h      Log On


   



Question 1052659: My problem is a square thats 24ft by 35ft and needs to keep the area into a triangle and wants the smallest perimeter. So im asking for all possible dimensions for the triangles (have to be whole numbers)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Squares have equal sides.
Do you mean you have a rectangle with an area of 24%2A35 that you need to convert to a triangle of minimum perimeter?
I'll assume that's what you mean, you can repost if my assumption was incorrect.
A triangle of minimum perimeter would be an equilateral triangle.
So the area of an equilateral triangle is,
A%5BET%5D=%28sqrt%283%29%2F4%29%28s%5E2%29
%28sqrt%283%29%2F4%29s%5E2=24%2A35
s%5E2=1120sqrt%283%29
s=4sqrt%2870%29sqrt%28sqrt%283%29%29
or approximately
s=44ft