I was soving geometry problem. And found this question , i tried to solve it .But i am unable to get the answer.
The hypotenuse of a right triangle has length of $5$ cm.
Determine its maximum possible area of its incircle.
I try to solve it by assuming that for maximum area of incircle is when the other two sides of triangle are equal.
But this i am unable to get the answer. Where am i wrong?
Thanks in advance.