Page 94 - IL LIBRO DELLE MAPPE4-5
P. 94

MATEMATICA                                                                                                                     CLASSE QUINTA



              PERIMETRO E AREA DELLE FIGURE PIANE, E LE RELATIVE FORMULE INVERSE                                                                                              PERIMETRO E AREA DELLE FIGURE PIANE, E LE RELATIVE FORMULE INVERSE




                triangoli
                  PERIMETRO                                                                                                   AREA

                         triangolo scaleno               triangolo isoscele             triangolo equilatero

                             <l <l 1    <l <l 2             <l <l 1                                                                          h



                                <l <l 3                          <l <l 2                         <l <l                                    b


                                   <l
                                         <l
                              <l
                                                                        <l
                                                              <l
                                                                                                 <l
                         P = <l 1 + <l 2 + <l 3          P = (<l 1 x 2) + <l 2              P = <l  x 3                              A = (b x h) : 2
                                   <l
                                         <l
                                                                    <l
                         <l <l 1 = P – (<l 2 + <l 3)     <l <l 1 = (P – <l 2) : 2            <l <l  = P : 3                          h = (A x 2) : b
                                         <l
                                   <l
                                                                   <l
                         <l <l 2 = P – (<l 1 + <l 3)     <l <l 2 = P – (<l 1 x 2)                                                    b = (A x 2) : h
                                         <l
                                   <l
                         <l <l 3 = P – (<l 1 + <l 2)
               parallelogrammi
                     rettangolo                                                               romboide
                                      PERIMETRO                 AREA                                              PERIMETRO               AREA
                                <l
                                                                                                                        <l
                                                                                                                              <l
                                             <l
                                                  <l
                                        P = (<l 1 + <l 2) x 2     A = b x h            <l <l 2                     P = (<l 1 + <l 2) x 2     A = b x h
                                                                                            h
                                                                                                                                  <l
                                                       <l
                                <l 2  h
                                        <l <l 1 = (P : 2) – <l 2   b = A : h                                       <l <l 1 = (P : 2) – <l 2   b = A : h
                    <l <l 1  b                                                                <l <l 1  b                                   h = A : b
                                                                                                                                  <l
                                                       <l
                                        <l <l 2 = (P : 2) – <l 1  h = A : b                                        <l <l 2 = (P : 2) – <l 1
                    quadrato                                                                  rombo
                                      PERIMETRO               AREA                                              PERIMETRO          AREA
                       <l <l
                                                                                                                                       A = D x (d : 2)
                                             <l
                                                                    <l
                                                                         <l
                                                                                                                      <l
                                        P = <l  x 4             A = <l  x <l                 D                    P = <l  x 4       oppure
                                                                                                  d                                    A = (D x d) : 2
                                        <l <l  = P : 4                                     <l <l                  <l <l  = P : 4
                                                                                                                                       D = (A x 2) : d
                                                                                                                                       d = (A x 2) : D
           92
   89   90   91   92   93   94   95   96   97   98   99