Question

Calculați lungimea laturii unui triunghi echilateral cu inaltimea de:
$a)14 \sqrt{3} cm \: \: \: b)6cm \: \: \: c)18 \sqrt{2cm} \: \: d)15 \sqrt{6} m$
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Answer 1

Explicație pas cu pas:

$h = \frac{l \sqrt{3} }{2} = > l = \frac{2h}{ \sqrt{3} } = \frac{2h \sqrt{3} }{3}$

$a)h = \frac{2 \sqrt{3} \times 14 \sqrt{3}}{3} = > 28 \: cm$

$b)h = \frac{2 \sqrt{3} ×6}{3} = 4 \sqrt{3} \: cm$

$c)h = \frac{2\sqrt{3}\times 18 \sqrt{2}}{3} =12 \sqrt{6}$

$d)h = \frac{2 \sqrt{3} \times 15 \sqrt{6} }{3} = 30 \sqrt{3} \: cm$