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      Question

      A triangle has sides 13 cm, 14 cm and 15 cm. Find the

      radius of its circumcircle.
      A 10.225 cm Correct Answer Incorrect Answer
      B 8.125 cm Correct Answer Incorrect Answer
      C 21.450 cm Correct Answer Incorrect Answer
      D 2.126 cm Correct Answer Incorrect Answer

      Solution

      ATQ,

      Using Heron’s formula: s = (13+14+15)/2 = 21 Area = √[21×8×7×6] = √7056 = 84 Circumradius R = (abc)/(4Δ) = (13×14×15)/(4×84) = 8.125 cm

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