Question

O triângulo ABC é retângulo em ABC
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Answer 1

Resposta:

$\overline{DC}=1$

$\overline{BD}=1,74$

$\overline{AD}=3$

$\overline{AB}=3,48$

Explicação passo a passo:

DC:

$sen\left(30\right)=\frac{\overline{DC}\:}{2}$

$0,5=\frac{\overline{DC}\:}{2}$

$\overline{DC}=1$

BD:

$cos\left(30\right)=\frac{\overline{BD}}{2}$

$0,87=\frac{\overline{BD}}{2}$

$\overline{BD}=1,74$

AD:

$tg\left(30\right)=\frac{1,74}{\overline{AD}}$

$0,58=\frac{1,\:74}{\overline{AD}}$

$0,58\overline{AD}=1,74$

$\overline{AD}=3$

AB:

$sen\left(30\right)=\frac{1,74}{\overline{AB}}$

$0,5=\frac{1,74}{\overline{AB}}$

$0,5\overline{AB}=1,74$

$\overline{AB}=3,48$