Răspuns :

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