Question

Hexagonul ABCDEF are apotema=6.Aflati perimetrul hexagonului?

Answer 1

Apotema hexagonului= R√3/2⇔R√3/2=6⇔R=6:√3/2⇔R=6*2/√3⇔R=12/√3

R= L( latura)
P=6*L=6*12/√3=72/√3

Answer 2

[tex] a_{6}=\underbrace{6\;=\;\frac{R\sqrt3}{2}}\;\;\rightarrow\;\;R=\frac{12}{\sqrt3}=\frac{12\sqrt3}{3}=6\sqrt3\;;\\ stiim\;ca\;l_6\,=\,R\,=\,6\sqrt3\;;\\ P_6=6\cdot6\sqrt3={36\sqrt3} [/tex]