Question

calculati masurile unghiurilor unui patrulater convex cunoscand ca sunt direct proportionale cu numerele 2,4,5 si 7

Answer 1

{a,b,c,d} dp {2,4,5,7}
a+b+c+d=360
a/2=b/4=c/5=d/7=k
a/2=k=> a=2k
b/4=k=>b=4k
c/5=k=>c=5k
d/7=k=>d=7k
2k+4k+5k+7k=360
18k=360
k=360:18
k=20
a=40
b=80
c=100
d=140

Answer 2

Notam măsurile cu t,x,y,z Stiim ca t+x+y+z=360 Deci:t/2=x/4=y/5=z/7=k/1,unde k este coeficientul prin care poți află nr..=> t/2=k/1=>t=2k X/4=k/q=>x=4k ..................y=5k ..................z=7k =>2k+4k+5k+7k=360 18k=360 K=360:18=>k=20 T=2k=>t=2×20=40 X=4k=>x=4×20=80 ..............y=5×20=100 ..............z=7×20=140 Măsurile unghiurilor sunt:40°,80°,100°,140°