icandy wrote:

Square ABCD is the base of the cube while square EFGH is the cube's top facet such that point E is above point A, point F is above point B etc. 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

* \(\sqrt{2}\)

* \(\sqrt{3}\)

* \(2\sqrt{3}\)

mathmatical approach:

say midpoint of AB = X

mid point of AD =Y

mid point of EF= Z

distance between X AND y = sqrt ((1/sqrt(2) )^2 +(1/sqrt(2) )^2) =1

distance between Z ABD X = sqrt((1)^2 +(sqrt(2))^2) =sqrt(3)

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