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September 21st, 2012, 11:16 PM   #1
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area of a square

[attachment=0:36c0in22]area of a square.jpg[/attachment:36c0in22]

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September 22nd, 2012, 02:11 AM   #2
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Re: area of a square

From figure 1, we see that the area of triangle ABC is 882 cm². From figure 2, after applying Pythagoras, we may find the area A of the square from:



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September 22nd, 2012, 02:50 AM   #3
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Re: area of a square

In figure 2 the side of the square trisects the hypotenuse, which is of length , so
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September 22nd, 2012, 09:16 AM   #4
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Re: area of a square

Hello, Albert.Teng!

From figure 1, we see that the side of the square is 21 cm.
And

Code:
    A *
      | *  R
      |   o
   42 | /:::\  Q
     So:::::::o
      |x\:::/x  *
    B *---o-------* C
          P
      : -  42 - - :








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September 22nd, 2012, 09:23 AM   #5
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The area of the square in Figure 1 is AC²/8, and the area of the square in Figure 2 is AC²/9.
(8/9)441 cm² = 392 cm².
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