Which of the following measurements of sides is possible to construct a triangle?

2 cm, 3 cm, 4 cm

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2 cm, 3 cm, 5 cm

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2 cm, 3 cm, 6 cm

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3 cm, 4 cm, 5 cm

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Solution

The correct options are
A 2 cm, 3 cm, 4 cm
D 3 cm, 4 cm, 5 cm
Sum of any two sides of the triangle should always be greater than the third side.
2 + 3 > 4 [Possible]
2 + 3 = 5 [Not possible]
3 + 4 > 5 [Possible]
2 + 3 < 6 [Not possible]

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(i) 2 cm, 3 cm, 5 cm (ii) 3 cm, 6 cm, 7 cm

(iii) 6 cm, 3 cm, 2 cm

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