Respuesta :

c^2=a^2+b^2-2abcos(c)
c=sqrt(a^2+b^2-2abcos(c))
c=sqrt((5)^2+(12)^2-2(5)(12)cos(72))
c=sqrt(25+144-120cos(72))
c=sqrt(169-120cos(72))
c=sqrt(169-37.08)
c=sqrt(131.92)
c=11.49
boffeemadrid

Answer:

[tex]c=11.49[/tex]

Step-by-step explanation:

It is given that  a = 5, b = 12, and c = 72°, then using the cosine formula, we get

[tex]c^2=a^2+b^2-2abcosC[/tex]

[tex]c^2=(5)^2+(12)^2-2(5)(12)Cos72^{\circ}[/tex]

[tex]c^2=25+144-2(60)(0.309)[/tex]

[tex]c^2=169-37.08[/tex]

[tex]c^2=131.92[/tex]

[tex]c=\sqrt{131.92}[/tex]

[tex]c=11.49[/tex]

Therefore, the value of the length of the side c is 11.49.

Otras preguntas