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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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