rakanmadi87 rakanmadi87
  • 10-10-2019
  • Mathematics
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Find the side length, x, of the given triangle.

Find the side length x of the given triangle class=

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Luv2Teach
Luv2Teach Luv2Teach
  • 10-10-2019

Answer:

Step-by-step explanation:

You have to use the Law of Cosines here.  Filling in the formula for it:

[tex]x^2=30^2+23^2-2(30)(23)cos66[/tex]

Simplifying a bit:

[tex]x^2=900+529-1380cos66[/tex]

1380 times the cosine of 66 = 561.2965674, so

[tex]x^2=1429-561.2965674[/tex] and

[tex]x^2=867.7034326[/tex] so

x = 29.456

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