In front of a 200 meters long wall, a triangular plot is to be cordoned off using the wall as one of its sides and a fencing of to

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   • For maximum area of a rt angled triangle with a fixed hypotenuse, base and height should be equal.

   • base = height = s

   then

   • s^2+s^2= 100^2
   • s^2= 0.5 *(100)^2

   => area of triangle = 1/2 *s*s = (1/4)*(100)^2= 50^2 = 2500 sq mtrs

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