If the coordinates of the vertices of an equilateral triangle with sides of length `a` are
Channel: Doubtnut
Date: 2020-01-19

If the coordinates of the vertices of an equilateral triangle with sides of length `a` are `(x_(1),y_(1)),(x_(2),y_(2))` and `(x_(3),y_(3))` then `|(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|^2=(3a^(4))/4`