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by cans » Mon May 30, 2011 3:20 am
In a rectangular coordinate system, what is the area of the triangle with following coordinates:
(4,0), (6,3), (6,-3)?
a)7.5
b)7
c)6.5
d)6
e)5.5
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by Anurag@Gurome » Mon May 30, 2011 3:38 am
cans wrote:In a rectangular coordinate system, what is the area of the triangle with following coordinates:
(4,0), (6,3), (6,-3)?
a)7.5
b)7
c)6.5
d)6
e)5.5
OA Later

Area of triangle when coordinates of the vertices are (x1, y1), (x2, y2), (x3, y3) = (1/2) |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
So, required area of triangle = (1/2) |4(3 + 3) + 6(-3 - 0) + 6(0 - 3)| = (1/2) |24 - 18 -18| = 6 sq units

The correct answer is D.
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by GMATGuruNY » Mon May 30, 2011 5:06 am
cans wrote:In a rectangular coordinate system, what is the area of the triangle with following coordinates:
(4,0), (6,3), (6,-3)?
a)7.5
b)7
c)6.5
d)6
e)5.5
OA Later
Draw the figure in order to determine the base and the height:

Image

A = (1/2)bh = (1/2)*6*2 = 6.

The correct answer is D.
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