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      Question

      In a triangle with sides 13, 14, and 15 cm, find the

      height corresponding to the longest side.
      A 18.5 cm Correct Answer Incorrect Answer
      B 25.5 cm Correct Answer Incorrect Answer
      C 11.2 cm Correct Answer Incorrect Answer
      D 17.5 cm Correct Answer Incorrect Answer

      Solution

      ATQ,

      Area = √[s(s–a)(s–b)(s–c)] = √[21×8×7×6]=√7056=84. Height = (2×84)/15 = 11.2 cm.

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