the hypotenuse of the right triangle is 20 cm. Determine the perimeter that will make its area minimum?

2 answers

half of a square will max area.
sorry.
Naturally, an area of zero will be a minimum. So, pick sides of 0 and 20.

That's technically not a triangle, but you van pick any tiny value h and make the sides

h and √(400-h^2)

and the area will be as close to zero as you like.