Question

Aflati perimetrul unui triunghi stiind ca intre lungimile laturilor sale a,b,c au lor relatiile:6a=4b=3c si c-b=2 cm

Answer 1

3c=4b ⇒
3c-4b=0
3c-b(3+1)=0
3c-3b-b=0
3(c-b)-b=0
3·2-b=0
6-b=0⇒b=6

Inlocuim in egalitate si obtinem:
6a=4·6⇒6a=24⇒a=4
3c=4·6⇒3c=24⇒c=8

Perimetrul se afla cu formula p=a+b+c 
In cazul nostru, p=4+6+8=18