Question

Find the equations of sides of a right triangle of area S so that its perimeter is minimum. *area S is constant and triangle must be right-angled.*

Answer 1

sq(s(s-a)(s-b)(s-c))

Answer 2

make it equilateral

Answer 3

my bad, I added conditions now.

Answer 4

\[A=\sqrt{s(s-a)(s-b(s-c))}\]
\[S= \frac{ a+b+c }{ 2 }\]

Answer 5

thank you!