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Question

Goutham has been asked to draw a triangle with three lengths given to him. He hasn't checked the given lengths and promised that he will draw the triangle thinking that a triangle can always be constructed with any three lengths. Is it true that a triangle can always be constructed with any three lengths?


A

True

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B

False

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Solution

The correct option is B

False


The triangle inequality states that for any triangle, the sum of the lengths of any two of its sides must be greater than the length of the third side. ​We, thus, cannot construct a triangle with any three lengths.


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