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my calculations are similiar to what you did but then i saw the question which asks about angle. even if you find the diagonal you will need trig to find the angle.

mayb that's why its just a DS question and not a PS.

I got the answer to my question while i was typing this....nm

KS, can you please explain how knowing the length of the shorter side (or of both the shorter side and the longer side) will help us find the required angle??

Re: Area of a rectangle is 80 What is the angle between the [#permalink]

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07 Nov 2012, 20:33

Another great question from the gmat club...

The theory behind this problem is very simple. If one can calculate the ratios of the all the sides of a triangle, then one can always always always find the angles.

You may ask how ? Well, think about this Let's say that Triangles ABC and DEF are similar. AB/DE = BC/EF=AC/AF = say 1/2 Draw any triangle satisfying this equation and you will find that Angle A = Angle D Angle B = Angle E Angle C = Angle F

So for the above question, We know the sides of the triangle (diagonal splits the triangle into 2. Additionally we can apply the Pythagoras to calculate the length of the triangle ) So if one were to draw a triangle with sides in the same ratio as that of the triangle(created when we drew the diagonal of the rectangle), then we can always derive the angles !
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