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AP EAMCET20226 Jul 2022Evening ShiftMathematicsApplication of DerivativesActual

Two sides of a triangle are given. If the area of the triangle is maximum, then the angle between the given sides is

Options

  1. A45^
  2. B30^
  3. C60^
  4. D90^

Correct answer

D. 90^

Step-by-step solution

Let A B C be a triangle and sides a, b and c are B C, A C and A B , respectively. Area of A B C= 1 2 a b C Now, fixed value of a and b area of triangle is maximum when C=1 C= 2 or 90^

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