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‫הדגמת הוכחת משפט‬
    ‫פיתגורס‬
הדגמת משפט פיתגורס
הדגמת משפט פיתגורס
a       b


                    a
b



                    b
a


        b       a
S ABCD = (a + b) = a + 2ab + b
                  2       2           2




          a           b


                                  a
     b



                                  b
     a


              b               a
הדגמת משפט פיתגורס
a       b


                    a
b




                    b
a


        b       a
a       b


                    a
b




                    b
a


        b       a
a       b

                c       a
b   c




                        b
                    c
a       c


            b       a
a ⋅b
S ABCD   = 4⋅      + c 2 = 2ab + c 2
               2
             a         b

                       c        a
 b       c




                               b
                           c
 a           c


                 b         a
a ⋅b
S ABCD = (a + b) = a + 2ab + b
              2       2          2
                                             S ABCD   = 4⋅      + c 2 = 2ab + c 2
                                                            2
              a + 2ab + b = 2ab + c
                  2                  2                     2


              a + 2ab + b = 2ab + c
                  2                  2                     2


                      a +b2              2
                                              =c       2

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הדגמת משפט פיתגורס

  • 4. a b a b b a b a
  • 5. S ABCD = (a + b) = a + 2ab + b 2 2 2 a b a b b a b a
  • 7. a b a b b a b a
  • 8. a b a b b a b a
  • 9. a b c a b c b c a c b a
  • 10. a ⋅b S ABCD = 4⋅ + c 2 = 2ab + c 2 2 a b c a b c b c a c b a
  • 11. a ⋅b S ABCD = (a + b) = a + 2ab + b 2 2 2 S ABCD = 4⋅ + c 2 = 2ab + c 2 2 a + 2ab + b = 2ab + c 2 2 2 a + 2ab + b = 2ab + c 2 2 2 a +b2 2 =c 2