Question

determinati masurile unui patrulater convex stiind ca acestea sunt proportionale ce 3,4,5,6

doresc raspunsul cat mai repede

Answer 1

a/3=b/4=c/5=d/6=k =>
a=3k
b=4k
c=5k
d=6k
a+b+c+d=360
3k+4k+5k+6k=360
18k=360
k=20
a=3k=60
b=4k=80
c=5k=100
d=6k=120

Answer 2

$Rezolvare: \frac{m}{3} = \frac{n}{4} = \frac{o}{5} = \frac{p}{6} =K \\ \frac{m}{3}=K \\ m=3K \\ \frac{n}{`4}=K \\ n=4K \\ \frac{o}{5}=K \\ o=5K \\ \frac{p}{6}=K \\ p=6K \\ m+n+o+p=360 \\ Inlocuim~in~suma~fiecare~termen: \\ 3K+4K+5K+6K=360 \\ 18K=360 \\ K=360:18 \\ K=20 \\ m=3K=3*20=60 \\ n=4K=4*20=80 \\ o=5K=5*20=100 \\ p=6K=6*20=120.$