Question

Perimetrul unui triunghi este egal cu 9 dm.Aflati lungimile laturilor triunghiului stiind ca ele sunt direct proportionale cu numerele 5,12,13.
SOS

Answer 1

P=9 dm
AB,AC,BC d.p 5,12,13
9 dm=9.10=90 cm
AB=5K
AC=12K
BC=13K
AB+AC+BC=90 cm
5k+12k+13k=90
30k=90
k=90:30
k=3
AB=5.k=5.3=15 cm
Ac=12.k=12.3=36 cm
BC=13.k=13.3=39 cm

Answer 2

PERIMETRULtriunghi=AB+BC+AC=9DM
$\frac{AB}{5}$=$\frac{BC}{12}$=$\frac{AC}{13}$⇒$\frac{AB+BC+AC}{5+12+13}$=$\frac{PERIMETRU TRIUNGHI}{30}$=$\frac{9}{30}$
$\frac{AB}{5}= \frac{9}{30}$⇒AB=$\frac{45}{30} dm$
$\frac{BC}{12}$=$\frac{9}{30}$⇒BC=$\frac{108}{30}$dm
$\frac{AC}{13}= \frac{9}{30}$⇒AC=$\frac{117}{30} dm$