Aplicam teorema lui Pitagora in triunghiul MNP
[tex]MP^{2} =NP^{2} +NM^{2}[/tex]
[tex]10^{2} =NP^{2} +8^{2}[/tex]
[tex]100 =NP^{2} +64[/tex]
[tex]NP^{2}=100-64[/tex]
[tex]NP^{2}=36[/tex]
[tex]NP^{}=\sqrt{36}[/tex]
[tex]NP^{}=6cm^{}[/tex]
[tex]Aria_{MNP} =\frac{6*8}{2} =24cm^{2}[/tex]
[tex]Aria_{MON}= Aria_{NOP} =\frac{Aria_{MNP} }{2} =\frac{24}{2} =12cm^{2}[/tex]
