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Choose the correct option in which a triangle CANNOT be constructed with the given lengths of sides.

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12 cm, 8 cm, 6 cm

10 cm, 7 cm, 2 cm

3 cm, 4 cm, 5 cm

7 cm, 6 cm, 5 cm

answer is C.

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Detailed Solution

The difference between any two sides of a triangle must be less than the third side.

This property of triangles is not satisfied by the given measurements:

10 – 7 = 3 > 2 and 10 – 2 = 8 > 7, though 7 – 2 = 5 < 10 is true.

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