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# coordimnate geometry

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06 Aug 2012, 21:10
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in a XY plane, the coordinates of triangle ABC are (1,3), (4,7) and (5,3). find the area of the triangle?
how do i approach to this problem.
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06 Aug 2012, 22:49
alchemist009 wrote:
in a XY plane, the coordinates of triangle ABC are (1,3), (4,7) and (5,3). find the area of the triangle?
how do i approach to this problem.

Let's denote the points: A(1,3), B(4,7), C(5,3).

AC is parallel to the X-axis (A and B have the same y coordinate). AB = 5 - 1 = 4.
Since the distance between B and AC is 4 (7 - 3), the area of the triangle is 4*4/2 = 8.
For a better understanding, visualize the points, a drawing always helps.
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Re: coordimnate geometry   [#permalink] 06 Aug 2012, 22:49
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