Question

Dado el triangulo abc calcula los elementos que faltan

Answer 1

Respuesta:

B=23.69°

C=116.31°

c=11.16°

Explicación paso a paso:

$\frac{a}{senA}=\frac{b}{senB} \\\\\frac{8}{sen(40)} =\frac{5}{senB}\\\\8senB =5sen(40)\\\\ senB=\frac{5sen(40)}{8} \\\\B=sen-1(\frac{5sen(40)}{8} )\\\\B=23.69$

A+B+C=180

40+23.69+C=180

C=180-40-23.69

C=116.31

$\frac{a}{senA} =\frac{c}{senC} \\\\\frac{8}{sen(40)} =\frac{c}{sen(116.31)} \\\\8sen(116.31)=csen(40)\\\\\frac{8sen(116.31)}{sen(40)} =c\\\\c=11.16$

Espero haberte ayudado