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Puzzle for the mind!

Discussion in 'Online Games & Puzzles' started by RamyaVaradharajan, Nov 9, 2007.

  1. RamyaVaradharajan

    RamyaVaradharajan Bronze IL'ite

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    A very bright noon to all ILites!

    I would like to post a puzzle here which i came across in the net! Many would have gone through the same. But this is for all those who want to give it a try! I request you to solve it by yourselves, true to your conscience without the help of the "Internet".

    PUZZLE #1:
    <center>The Bermuda Triangle and the Mysterious Square

    </center> The Bermuda Triangle is a place in the Atlantic Ocean where ships and airplanes supposedly disappear without a trace. In the picture below, a square disappears when we rearrange the pieces of the upper triangle to form the lower triangle. The pieces in both pictures are identical. Can you explain why the square is missing? You will need your knowledge of geometry to solve this problem.
    <center>[​IMG]

    Am very happy that i figured out the solution for the same but i took a day to solve the same:-(. <was depressed only for that>.

    Once i get feedbacks and replies i will post another puzzle and if i get better feedbacks i will continue the same.

    Shall we IL friends?:thankyou2:

    Regards
    </center>
     
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  2. dkbabu

    dkbabu New IL'ite

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    The area of a right triangle is computed by multiplying the base times the height and dividing by two. The pieces of the puzzle have an area of 32 square units. Although they can be assembled to form what appears to be a 13×5 right triangle, they actually form quadrilaterals that are slightly smaller or slightly bigger than a 13×5 right triangle. The long side of the these triangles, i.e, the hypotenuse, is not a straight line.
    The top figure has an area of 32 square units. The bottom figure, including the empty square, has an area of 33 square units. A real 13×5 right triangle would have an area of 32.5 square units. The distortion is difficult to see because one square of the picture is approximately 3% of the area.
    The distortion can be seen more clearly when the empty square constitutes a larger percentage of the area, as in the figure below where 1 square represents 13% of the area
     
  3. RamyaVaradharajan

    RamyaVaradharajan Bronze IL'ite

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    Hello ma'am..

    Think you have gone through the net!

    Anyways good if you have understood the concept behind the same:)

    We will see what others tell!

    Regards
     
  4. RamyaVaradharajan

    RamyaVaradharajan Bronze IL'ite

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    Thus goes the answer for the first puzzle:
    The area of a right triangle is computed by multiplying the base times the height and dividing by two. The pieces of the puzzle have an area of 32 square units. Although they can be assembled to form what appears to be a 13×5 right triangle, they actually form quadrilaterals that are slightly smaller or slightly bigger than a 13×5 right triangle. The long side of the these triangles, i.e, the hypotenuse, is not a straight line.
    The top figure has an area of 32 square units. The bottom figure, including the empty square, has an area of 33 square units. A real 13×5 right triangle would have an area of 32.5 square units. The distortion is difficult to see because one square of the picture is approximately 3% of the area.
    The distortion can be seen more clearly when the empty square constitutes a larger percentage of the area, as in the figure below where 1 square represents 13% of the area.
    <center>[​IMG]</center>
     

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