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      Question

      Two sides of a triangle are 10 cm

      and 15 cm. Which of the following can be the third side of the triangle?
      A 26 cm Correct Answer Incorrect Answer
      B 5 cm Correct Answer Incorrect Answer
      C 12 cm Correct Answer Incorrect Answer
      D 30 cm Correct Answer Incorrect Answer

      Solution

      ATQ, 

      According to the given property of triangles, the sum of the lengths of any two sides must exceed the length of the third side. Option A: Length of third side = 26 cm Sum of the other two sides = 10 + 15 = 25 cm Since, 26 > 25. This triangle cannot be formed. Option B: Length of third side = 5 cm Sum of the other two sides = 10 + 5 = 15 cm Since, 15 = 15. This triangle cannot be formed. Option C: Length of third side = 12 cm Sum of the other two sides = 10 + 12 = 22 cm Since, 22 > 12. This triangle can be formed. Option D: Length of third side = 30 cm Sum of the other two sides = 10 + 15 = 25 cm Since, 30 > 25. This triangle cannot be formed.

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