Which among the following dimensions of three lines can possibly form a triangle?

True

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False

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3 cm, 4 cm and 8 cm.

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3 cm, 4 cm and 6 cm

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Solution

The correct options are
B
False

D 3 cm, 4 cm and 6 cm
Sum of lengths of any two sides of a triangle should always be greater than the third side.

Consider 2cm, 3cm and 5cm.
2 + 3 = 5
Triangle is not possible.
Consider 3cm, 4cm and 8cm.
3 + 4 = 7 which is less than 8.
Triangle is not possible.
We can construct triangles in the other two cases since it satisfies the inequality condition.

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Construction of a unique quadrilateral ABCD is possible with AB = 4cm, BC = 6cm, AC = 7cm, CD = 5cm and BD = 8cm.

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