Questions
If each of the vertices of a triangle has integer: coordinates, then the triangle will not be
a
right angled
b
equilateral
c
isosceles
d
none of these
detailed solution
Correct option is B
Let Ax1,y1, Bx2,y2 and Cx3,y3 be the vertices of a ∆ABC such that xi′s and yi′s are integers. ThenΔ= Area of △ABC= a rational numberBut, if we assume that the triangle is equilateral, thenΔ=34( side )2=34× an integer = a rational number So, the triangle cannot be equilateralTalk to our academic expert!
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If points A(3,5) and B are equidistant from and B has rational coordinates, then AB=
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