a+b = 45
b+c = 27
a+c = 36
45-b+c = 36 ⇒ 9 = b-c
b+c = 27
b-c = 9
somma prick to prick
2b = 36
b = 18
c = 27-18 = 9
a = 45-18 = 27
AB+CD+EF=54 EF=54-45=9 CD=54-36=18 AB=54-27=27
105)
$\small AB+CD+EF=54\,cm;$
$\small AB+CD = 45\,cm;$
$\small CD+EF= 27\,cm;$
$\small AB+EF= 36\,cm;$
$\small AB+CD-(AB+EF) = 45-36$
$\small \cancel{AB}+CD-\cancel{AB}-EF = 9$
$\small CD-EF = 9$
quindi somma e differenza tra CD e EF per cui:
$\small CD= \dfrac{27+9}{2} = \dfrac{36}{2} = 18\,cm;$
$\small EF= \dfrac{27-9}{2} = \dfrac{18}{2} = 9\,cm;$
$\small AB= 45-CD = 45-18 = 27\,cm.$