CatrinaO17351 CatrinaO17351
  • 03-11-2022
  • Mathematics
contestada

Solve for X using cosine law along with with written explanation.

Solve for X using cosine law along with with written explanation class=

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NaziyahS692576 NaziyahS692576
  • 03-11-2022

Given:

The two sides and angle of triangle are

[tex]\begin{gathered} a=19m \\ b=25m \\ \angle C=65\degree \end{gathered}[/tex]

Required:

To find the value of X.

Explanation:

By cosine rule

[tex]\begin{gathered} X=\sqrt{a^2+b^2-2ab\cos C} \\ \\ =\sqrt{19^2+25^2-2\times19\times25\cos65} \\ \\ =24.17m \end{gathered}[/tex]

Final Answer:

The value of X is

[tex]X=24.17m[/tex]

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