Question

calculați apotema si raza cercului circumscris unui triunghi echilateral stiind ca lungimea laturii este: a)l=24cm ;b)l=radical din 3; c)l=2a

Answer 1

l_{\Dalta}=R\sqrt3[tex]l_{\Delta}-R\sqrt3\;\;;\;a_p=\frac{l*\sqrt3}{6}\\ a)R=\frac{24}{\sqrt3}=\frac{24\sqrt3}{3}=8\sqrt3\;;\;a_p=\frac{24\sqrt3}{6}=4\sqrt3\;;\\ b) R=\frac{\sqrt3}{\sqrt3}=1\;;\;a_p=\frac{\sqrt3*\sqrt3}{6}=3/6=1/2\;;\\ c)R=\frac{2a}{\sqrt3}=\frac{2a\sqrt3}{3}\;;\;a_p=\frac{2a\sqrt3}{6}=\frac{a\sqrt3}{3}\;;[/tex]