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arjtryarjtry
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a cube has edges . say 4 vertices of one face are A,B,C,D 31 Aug 2008, 09:27
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a cube has edges . say 4 vertices of one face are A,B,C,D and on the opp face, the vertices above A is E, above B is F . What is the distance between the midpoint of edge AB and the midpoint of edge EH if the area of square ABCD is 2?



* \(\frac{1}{\sqrt{2}}\)
* 1
* \(\sqrt{2}\)
* \(\sqrt{3}\)
* \(2\sqrt{3}\)



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a cube has edges . say 4 vertices of one face are A,B,C,D 31 Aug 2008, 09:52
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for those who want to understand better , here is the diagram.
the blue lines so constructed , give away the ans...
so if u want to solve it on your own, dont see this...
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cube.doc [19.5 KiB]
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x2suresh
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a cube has edges . say 4 vertices of one face are A,B,C,D 31 Aug 2008, 09:59
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arjtryarjtry
a cube has edges . say 4 vertices of one face are A,B,C,D and on the opp face, the vertices above A is E, above B is F . What is the distance between the midpoint of edge AB and the midpoint of edge EH if the area of square ABCD is 2?



* \(\frac{1}{\sqrt{2}}\)
* 1
* \(\sqrt{2}\)
* \(\sqrt{3}\)
* \(2\sqrt{3}\)
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Distance between Mid point of AB (say X) and E. = \(sqrt{{sqrt(2)}^2 +{sqrt{1/2}}^2}\) = sqrt{ 2+1/2}= sqrt{5/2}

Distance beween midpoint of AB and midpoint of EH = \(sqrt{sqrt(5/2)^2+sqrt(1/2)^2)\)\(= sqrt(3)\)
D



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