Question

calculati lungimea laturii si lungimea inaltimii unui triunghi echilateral stiind ca aria este 3radical din3 cm patrati

Answer 1

A = $\frac{l^{2} \sqrt{3} }{4}$ 
3√3 = $\frac{l^{2} \sqrt{3} }{4}$ (inmultim mezii cu extremii)
12√3=l²√3
l² = $\frac{ 12\sqrt{3} }{ \sqrt{3} }$ 
$l^{2}$ = 12
l = $\sqrt{12}$
l= 2$\sqrt{3}$

h= $\frac{l \sqrt{3} }{ 2 } = \frac{2 \sqrt{3} \sqrt{3} }{2} = \frac{6}{2} = 3 cm$