reginaj035 reginaj035
  • 12-10-2020
  • Mathematics
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what is the value of BC in the given triangle?

what is the value of BC in the given triangle class=

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aylaaktan aylaaktan
  • 12-10-2020

Answer:

BC = 1.2, Option B

Step-by-step explanation:

1). Apply Law of Cosine: [tex]c^2=a^2+b^2-2ab\cdot cos(\gamma)[/tex]

   [tex]BC^2=AB^2+AC^2-2\cdot AB\cdot AC\cdot cos(\angle\ BAC)[/tex]

   [tex]AB=2\\AC=1\\\angle BAC=25[/tex]

2). [tex]BC^2=2^2+1^2-2\cdot 1\cdot cos(25)[/tex]

    [tex]BC=1.17[/tex]

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