In which of the following cases construction of a triangle is possible?

10 cm, 7 cm, 3 cm

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10 cm, 7 cm, 6 cm

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9 cm, 4 cm, 7 cm

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9 cm, 4 cm, 5 cm

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Solution

The correct options are
B
10 cm, 7 cm, 6 cm

C
9 cm, 4 cm, 7 cm

The sum of the lengths of two sides has to be greater than the third side. If the given lengths satisfy this condition then only it is possible to construct a triangle. So, for 10 cm, 7 cm, 6 cm, and 9 cm, 4 cm, 7 cm it is possible to construct a triangle as both the choices satisfy the required condition of triangle construction.

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