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Lungimea laturii unui triunghi echilateral cu aria 27[tex] \sqrt{3} [/tex] cm patrati este.... cm.


Răspuns :

[tex]A=27\sqrt{3} \\ A=l^{2}\sqrt{3}/4 \\ l^{2}\sqrt{3}/4=27\sqrt{3} \\ l^{2} =4*27\sqrt{3}/\sqrt{3} \\ l^{2}= 4*27 \\ l^{2}=108 \\ l=\sqrt{108} \\ l=\sqrt{2*2*3*3*3} \\ l=2*3*\sqrt{3} \\ l=6*\sqrt{3} \\ l=6\sqrt{3}[/tex]