Question

Determinati lungimea laturii rombului care are un unghi de 60 de grade si aria de 8 radical din 3 cm patrati​

Answer 1

x=60°

$s(aria) = 8 \sqrt{3}$

Formula ariei:

$s = {l}^{2} \times \sin(x)$

Inlocuim:

$8 \sqrt{3} = {l}^{2} \times \sin(60)$

$8 \sqrt{3} = {l}^{2} \times \frac{ \sqrt{3} }{2}$

${l}^{2} = \frac{8 \sqrt{3} }{ \frac{ \sqrt{3} }{2} }$

${l}^{2} = \frac{8 \sqrt{3} }{1 } \times \frac{2}{ \sqrt{3} }$

${l}^{2} = \frac{8 \sqrt{3} \times 2 }{ \sqrt{3} }$

${l}^{2} = \frac{16 \sqrt{3} }{ \sqrt{3} }$

${l}^{2} = 16$

$l = \sqrt{16}$

$l = 4$

sper ca e ok.