Question

Daca un triunghi echilateral are intaltimea 2radical3 cm atunci aria lui este ?

Answer 1

$h=2 \sqrt{3} \\ \\ h= \frac{l \sqrt{3} }{2} \\ \\2 \sqrt{3}= \frac{l \sqrt{3} }{2}=\ \textgreater \ l= \frac{2*2 \sqrt{3} }{ \sqrt{3} }=\ \textgreater \ l=4 \\ \\ A= \frac{l^2 \sqrt{3} }{4} \\ \\A= \frac{4^2 \sqrt{3} }{4} \\ \\ A=4 \sqrt{3}~cm^2$

Answer 2

$h= \frac{l \sqrt{3} }{2} \\ 2 \sqrt{3} = \frac{l \sqrt{3} }{2} \\ l \sqrt{3} =2 \sqrt{3} *2 \\ l \sqrt{3} =4 \sqrt{3} \\ l= \frac{4 \sqrt{3} }{ \sqrt{3} } \\ l=4cm. \\ \\ A _{t.ech.}= \frac{l^2* \sqrt{3} }{4} \\ A _{t.ech.} = \frac{4^2* \sqrt{3} }{4} \\ A _{t.ech.} = \frac{16 \sqrt{3} }{4} \\ A _{t.ech.} =4 \sqrt{3} cm.$