llamawrench3103 llamawrench3103
  • 14-09-2022
  • Mathematics
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The lengths of the sides of a triangle are 10,14, , and 15 . What is the measure, of the angle opposite the longest side?

Respuesta :

profereyes12122
profereyes12122 profereyes12122
  • 14-09-2022

Answer:

75.3°

Step-by-step explanation:

Applies the Law of Cosines

15 represents the larger side and its opposite angle will be C

[tex]15^{2} =10^{2} +14^{2} -2(10)(14)cosC[/tex]

[tex]225=296-280cosC[/tex]

[tex]-280cosC=225-296[/tex]

[tex]cosC=\frac{-71}{-280}[/tex]

[tex]C=ArcCos(0.25357)[/tex]

C = 75.3°

Hope this helps

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