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Math Help - surds

  1. #1
    Member GAdams's Avatar
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    surds

    A draughtsman wants to draw a square with area 2m^2. How could he do this without having to measure out the irrational sides? Clue: start with a square with double the area.

    I have been at this problem for half an hour now -no joy!? Help!
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  2. #2
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    Quote Originally Posted by GAdams View Post
    A draughtsman wants to draw a square with area 2m^2. How could he do this without having to measure out the irrational sides? Clue: start with a square with double the area.

    I have been at this problem for half an hour now -no joy!? Help!
    draw two perpendicular line segments of length = 2 m that intersect at their respective midpoints ... connect the four ends to form a square.

    I'll leave it to you to convince yourself that the area = 2 square meters
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  3. #3
    Member GAdams's Avatar
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    Quote Originally Posted by skeeter View Post
    draw two perpendicular line segments of length = 2 m that intersect at their respective midpoints ... connect the four ends to form a square.

    I'll leave it to you to convince yourself that the area = 2 square meters
    OK. I got how that explanation works. Thanks!

    But, the question specifically wants us to use a square double the size, i.e. use a square of area 4m squared to solve the problem of drawing one of 2m squared without having to measure it out.
    Last edited by GAdams; October 31st 2009 at 11:07 AM. Reason: got it eventually
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  4. #4
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    draw a 2 x 2 square ... connect the midpoints of each adjacent side with a line segment
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