Question

Usando as leis dos senos, determine qual o valor do segmento AB.

Answer 1

Explicação passo-a-passo:

Seja AB = x

Pela lei do senos:

$\sf \dfrac{x}{sen~30^{\circ}}=\dfrac{6\sqrt{2}}{sen~45^{\circ}}$

$\sf \dfrac{x}{\frac{1}{2}}=\dfrac{6\sqrt{2}}{\frac{\sqrt{2}}{2}}$

$\sf \dfrac{x}{\frac{1}{2}}=\dfrac{6\sqrt{2}}{1}\cdot\dfrac{2}{\sqrt{2}}$

$\sf \dfrac{x}{\frac{1}{2}}=\dfrac{12\sqrt{2}}{\sqrt{2}}$

$\sf \dfrac{x}{\frac{1}{2}}=12$

$\sf x=\dfrac{1}{2}\cdot12$

$\sf x=\dfrac{12}{2}$

$\sf \red{x=6}$

Answer 2

resposta:

explicação passo-a-passo:

seja AB=x