A square joins the points (-2,1),(2,4),(5,0) and (1,-3). Write the equations of its diagonals. Hence prove that they are perpendicular.
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The sides are a(-2,1),b(2,4),c(5,0),d(1,-3)
AC*AC=(-2-5)(-2-5)+1
=50
AC*AC=(-2-5)(-2-5)+1
=50
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