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AP EAMCET20226 Jul 2022Morning ShiftMathematicsApplication of DerivativesActual

The maximum area of a right angled triangle with hypotenuse h is

Options

  1. Ah^2 / 2 2
  2. Bh^2 / 2
  3. Ch^2 / 2
  4. Dh^2 / 4

Correct answer

D. h^2 / 4

Step-by-step solution

Let a right angled triangle OAB , with h hypoteneous Let OAh = now OA = h and OB = h aligned & Area = 1 2 OA OB = 1 2 ~h ^2 ( 1 2 ) & = 1 4 ~h ^2 2 , 2 , for maximum =45^ & 1 4 ~h ^2 aligned

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