Which of the following cannot be the length of the sides of a triangle?

3 cm, 4 cm, 5 cm

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6 cm, 8 cm, 10 cm

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3 cm, 5 cm, 10 cm

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5 cm, 12 cm, 13 cm

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Solution

The correct option is C
3 cm, 5 cm, 10 cm

The sum of the lengths of any two sides of a triangle is always greater than the third side.

A triangle with sides 3 cm, 5 cm and 10 cm cannot be constructed since,
3 + 5 = 8 cm which is less than 10 cm.

In all other options, the sum of lengths of any two sides is greater than the third side.

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Similar questions

Suppose we want to draw a triangle with one side 6 centimeters long. Which of the following pairs of lengths can be the lengths of the other two sides?

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(ii) 4 cm, 2 cm

(iii) 4 cm, 3 cm

(iv) 5 cm, 10 cm

(v) 5 cm, 11 cm

(vi) 5 cm, 12 cm

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