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    heya i was not sure where to stick this but i am sitting the Aber pure maths scholarship exam tomorrow and was looking through some past papers and sound not et my head aronud one of the questions and wondered if anyone could help....

    right so here it is


    in an equilateral triangle with sides length 1 consider rectangles inside the triangle with one of those sde included in a side of the triangle. determine the maximal area of such a triangle!
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    Sorry if I misread your question, but there is only 1 possible area for an equilateral triangle with sides of length 1.

    Area= 1/2 * b * h = 1/2 * 1 * sqrt(3)/2 = sqrt(3)/2

    Are you sure you copied the whole question correctly?
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    yeah ..you dont want the area of the trianlhe you want the area of the biggest rectangle you could make within the triangle
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    Draw a diagram. By symmetry we can see that the rectangle will be centered on one of the triangles edges. Bring the other sides up to meet the triangle. Then work out the area of the rectangle. (Or, more easily, the area not in the rectangle...)
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    oh so you actualyl draw it out there is not funky formular you use to do it.... thank you very much!!!
 
 
 
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