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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?


Options:
A .   True
B .   False
C .   3 and 1
D .   0 and 2
Answer: Option B
:
B

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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