prove that an equilateral triangle can be constructed on an line segment
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Let x be the length of the sides of an equilateral triangle.
Now in a triangle, sum of any two sides is always greater than the third side.
In this case, Sum of any two sides = x + x = 2x which is more than x.
Hence the construction of an equilateral triangle on any given line segment is possible.
Now in a triangle, sum of any two sides is always greater than the third side.
In this case, Sum of any two sides = x + x = 2x which is more than x.
Hence the construction of an equilateral triangle on any given line segment is possible.
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