Question

Raza cercului inscris intr-un triunghi echilateral e de 3 cm. Aflati aria si perimetrul triunghiului

Answer 1

r=3
L=R√3=3√3
A=L²√3/4=3√3²*√3/4=27√3/4
P=3*L=3*3√3=9√3

Answer 2

r=3=2h/3=>2h=9=>h=4,5cm
In,oricare,din,tr.dr.formate,de,inaltime,se,calculeaza,latura,L,a,tr.echilat,cu,t.Pit.(stiind,ca,segmentele,formate,de,inaltime,pe,baza=L/2)
L²=h²+L²/4
4,5²=L²-L²/4
20,25=3L²/4
3L²=81
L²=27=>L=3√3
Aria=L²√3/4=27√3/4cm²
Perim=9√3cm