Question

Utilizando a lei dos senos, a medida do segmento AB, é;​

Answer 1

Resposta:

C=180-105-30 =45

AB/sen 45 =12/sen 30

AB = sen 45 * 12 /sen 30

AB =√2/2  * 12/(1/2)

AB =√2/2  * 12*2

AB =12√2 cm

Answer 2

Resposta:

Explicação passo-a-passo:

$\frac{a}{senA}=\frac{b}{senB}=\frac{c}{senC}=2R(raio\:da\:circ.circunscrita)\\\\C+30^{o}+105^{o}=180^{o}\\\\C= 180^{o}-145^{o}\\\\C=45^{o}\\\\\frac{12}{sen30^{o}}=\frac{AB}{sen45^{o}}\\\\AB.sen30^{o}=12sen45^{o}\\\\AB.\frac{1}{2}=12.\frac{\sqrt{2}}{2}\\\\AB=12\sqrt{2} (eliminando os denominadores)$