Question

calculati lungimea laturii si lungimea inaltimii unui triunghi echilateral stiind ca aria sa este ; a)25 radical3cmpatrat; b) 3 radical 3 cmpatrat c) 49radical3supra 2 cmpatrat

Answer 1

a. $\frac{ l^{2} \sqrt{3} }{4} =25 \sqrt{3} =\ \textgreater \ l^{2} \sqrt{3} = 25 \sqrt{3} *4 = 100 \sqrt{3} =\ \textgreater \ l^{2} = \frac{100 \sqrt{3} }{ \sqrt{3} } =\ \textgreater \ l= 10$

b. $\frac{ l^{2} \sqrt{3} } {4} = 3\sqrt{3} =\ \textgreater \ { l^{2} \sqrt{3} }= 3\sqrt{3} *4 = 12 \sqrt{3} =\ \textgreater \ l^{2} = \frac{12 \sqrt{3} }{3} = 2 \sqrt{3}$

c. $\frac{ l^{2} \sqrt{3} }{4} = \frac{49 \sqrt{3} }{2} =\ \textgreater \ 2 l^{2} \sqrt{3} =49* \sqrt{3} *4 =\ \textgreater \ l^{2} = \frac{49* \sqrt{3}*4 }{2* \sqrt{3} } = 7 \sqrt{2}$