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      Question

      src="https://www.ixambee.com/questionimage/Section/1647946648-1.PNG" alt="" />
      A 8 Correct Answer Incorrect Answer
      B 6 Correct Answer Incorrect Answer
      C 6.25 Correct Answer Incorrect Answer
      D 7.5 Correct Answer Incorrect Answer

      Solution

      AD is bisector of ∠ A it divided the BC in ratio of AB : AC = 10 : 15 = 2 : 3 and by PGT = AC = 5√13 DC = 3√13 Let [C = Q0] Now apply sinθ in ∆Abc and in ∆ EDC we get = [sinθ = 10/5√13 = DE/3√13 DE = 6cm

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