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For a right angled triangle, if the sum of the lengths of the hypotenuse and a side is kept constant, in order to have maximum area of the triangle, the triangle, the angle between the hypotenuse and the side is

  1. $12^{\circ}$
  2. $36^{\circ}$
  3. $60^{\circ}$
  4. $45^{\circ}$
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