Which of the following given lengths can be the sides of a triangle?

1 cm, 2 cm, 3 cm

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4 cm, 2 cm, 1 cm

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3 cm, 4 cm, 5 cm

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2 cm, 4 cm, 6 cm

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Solution

The correct option is C
3 cm, 4 cm, 5 cm

For a geometrical figure to be a triangle, the sum of lengths of any two of its sides must be greater than that of the third side.

Otherwise, a triangle formation is not possible.
The only option among the given options which satisfies the above condition is '3 cm, 4 cm, 5 cm'.
[3 cm + 4 cm > 5 cm
4 cm + 5 cm > 3 cm
5 cm + 3 cm > 4 cm]

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