1.

If the vertices of a triangle have rationalcoordinates, then prove that the triangle cannot be equilateral.

Answer» Correct Answer - True
We know that, if the verticles of a triangle have integral coordinates, then the triangle cannot be equilateral. Hence, the given statements is true.
Since, in equilatteral triangle, we get `tan 60^@=sqrt3` =slope of the line, so with integral coordinates as vertices, the triangle cannot be equilateral.


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