- #1
uman
- 352
- 1
Hi all,
It seems obvious that the trapezoid with the smallest perimeter given the lengths of the bases and the height is the isosceles trapezoid. How can I prove this (preferably using analytical methods)?
Note: this is not homework or anything. I need to know this as a step to prove the answer to a larger problem that I'm solving for my own pleasure, not for school.
Thanks for the help.
It seems obvious that the trapezoid with the smallest perimeter given the lengths of the bases and the height is the isosceles trapezoid. How can I prove this (preferably using analytical methods)?
Note: this is not homework or anything. I need to know this as a step to prove the answer to a larger problem that I'm solving for my own pleasure, not for school.
Thanks for the help.