1.

For a given figure to be a triangle, the condition that it is a union of three segments is 1. both necessary and sufficient condition. 2. neither necessary nor sufficient condition. 3. a necessary but not a sufficient condition. 4. a sufficient but not a necessary condition.

Answer» Correct Answer - Option 3 : a necessary but not a sufficient condition. 

A triangle is a two-dimensional figure which has three sides and the sum of whose angles is 180 degrees.

There are certain conditions for a figure to be triangle as stated below:

  • There are three sides of a triangle, which is necessary. Having three sides does not guarantee that the figure is a triangle.
  • The sum of lengths of two sides should always be greater than the third side.
  • The difference of length of two sides should always be less than the third side.

Hence, we conclude that for a given figure to be a triangle, the condition that it is a union of three segments is ​a necessary but not a sufficient condition.



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