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Question

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


A

True

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B

False

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C
3 cm, 4 cm and 8 cm.
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D
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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