Question

Triunghiul echilateral cu aria de 36√3 cm patrați are latura de ....cm

Answer 1

Arie triunghi= (l²√3)/4
36√3= (l²√3)/4⇒ l²=4×36√3/√3= 4*36=144
l²=144
l=√144=12 cm

Answer 2

$\displaystyle A=36 \sqrt{3} ~cm^2 \\ \frac{l^2 \sqrt{3} }{4} =36 \sqrt{3} \\ l^2 \sqrt{3} =4 \cdot 36 \sqrt{3} \\ l^2 \sqrt{3} =144 \sqrt{3} \\ l^2= \frac{144 \sqrt{3} }{ \sqrt{3} } \\ l^2=144 \\ l= \sqrt{144} \\ l=12~cm$