Question

un triunghi echilateral are aria de 27 cm patrati, marind latura triunghiului de 3 ori , se obtine un alt triunghi cu aria de ?

Answer 1

$A= \frac{l^{2} \sqrt{3}}{4} , 27= \frac{l^{2} \sqrt{3}}{4} , l= \frac{ 27*4}{ \sqrt{3} } = \frac{108}{ \sqrt{3} } , \frac{108}{ \sqrt{3} }^{ \sqrt{3} } =\frac{ 108 \sqrt{3} }{3} = 36 \sqrt{3}$
$A= \frac{ l^{2} \sqrt{3} }{4} , A= \frac{108 \sqrt{3} \sqrt{3}}{4} = \frac{ 108*3}{4} = \frac{324}{4} = 81$$l=36 \sqrt{3}, 3l= 3*36 \sqrt{3} = 108\sqrt{3}$$cm^{2}$