prandom789 prandom789
  • 17-02-2022
  • Mathematics
contestada

Find the length of the third side.

Find the length of the third side class=

Respuesta :

zsm2800 zsm2800
  • 23-02-2022

Answer:

296.5

Step-by-step explanation:

Let a = 217, b = 355, B = 86°, find c.

Use cosine law:

[tex]b^2=a^2+c^2-2ac\cos(B)\\355^2=217^2+c^2-2\times217\times{c}\times\cos{86}\\126,025=47,089+c^2-30.274c\\c^2-30.274c-78,936=0\\c=\frac{30.274\pm\sqrt{30.274^2+4\times78936}}{2}\\c=\frac{30.274+\sqrt{316660}}{2}=296.5[/tex]

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