Răspuns:
5. CR= 360m DR= 120 m => CD= 360-120= 240 m CD=240 m
AR=CP=800 m PB=480 => CB= 800-480= 320m CB=320 m
AP=CR=360m
AB= [tex]\sqrt{PB^{2} +AP^{2} }[/tex]= [tex]\sqrt{480^{2} +360^{2} }[/tex]= [tex]\sqrt{230400+129600 }[/tex]= [tex]\sqrt{360000}[/tex]=600 m
BD= [tex]\sqrt{BC^{2} +CD^{2} }[/tex]= [tex]\sqrt{320^{2} +240^{2} }[/tex]= [tex]\sqrt{102400+ 57600} =\sqrt{160000}[/tex]= 400 m
AD= [tex]\sqrt{x} \sqrt{800^{2} +120^{2} } = \sqrt{640000+14400} = \sqrt{654400} =808,9[/tex] m
400+600+809=1809 m =1,809 km
6. m(A)=90 m(B)=60 m(C)=30 BC=6 cm
P=AB+BC+AC
sin 60=[tex]\frac{AC}{BC}[/tex] => AC= BC*sin 60= 6*[tex]\sqrt{3}[/tex]/2= 3[tex]\sqrt{3}[/tex]
cos 60= [tex]\frac{AB}{BC}[/tex] => AB= BC*cos 60= [tex]\frac{1}{2}[/tex] *6= 6:2= 3 cm
AC= 3[tex]\sqrt{3}[/tex] AB= 3 cm
AC+AB+BC= 6+3+3[tex]\sqrt{3}[/tex]=9+3[tex]\sqrt{3}[/tex] cm (perimetru