show that the points (0,-1), (-2,3), (6, 7), and (8,3),taken in order are the vertices of a rectangle. Also find its area.
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8
Answer:
you are asking this question from section formula
Answered by
9
Let the given points be A(0,-1),B(6,7), C(-2,3),D(8,3).
Using distance formula, we get,
AD = 4 (root 5)
BC = 4 (root 5)
AB = 10
CD = 10
AC = 2 (root 5)
BD = 2 (root 5)
Therefore,
AD = BC, AB = CD and AC = BD
Hence, ABCD is a rectangle.
Area of the rectangle = AB x AD = 40 (root 5) sq units
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