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KVPY2017MathematicsStraight Lines

Consider four triangles having sides (5,12,9),(5,12,11),(5,12,13) and (5,12,15) . Among these, the triangle having maximum areahas sides

Options

  1. A(5,12,9)
  2. B(5,12,11)
  3. C(5,12,13)
  4. D(5,12,15)

Correct answer

C. (5,12,13)

Step-by-step solution

Clearly area of having sides (5,12,13) is greatest (use = s(s-a)(s-b)(s-c)

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