Question

perimetrul unui triunghi ABC esre 54. Dacă AB/8=AC/6 si BC/2=AC/3, Aflati lungimile laturilor triunghiului.

Answer 1

AB+BC+AC=54
4k+2k+3k=54
9k=54
k=54:9
k=6
AB= 24
AC= 18
BC=12

Answer 2

AB/8=AC/6   AB=8*AC/6=4*AC/3
BC/2=AC/3   BC=2*AC/3
P=54=AB+BC+AC=4*AC/3+2*AC/3+AC=6*AC/3+AC=2AC+AC=3AC=54
=>AC=54/3
=>AC=18 => AB=4*18/3=24
BC=2*18/3=12