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  • 14-09-2022
  • Mathematics
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a. The lengths of two sides of a triangle are 8 and 10 , and the measure of the angle between them is 40°. What is the approximate length of the third side?

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Medunno13
Medunno13 Medunno13
  • 14-09-2022

Answer:

6.437

Step-by-step explanation:

By the Law of Cosines, if we let the length of the third side be x,

[tex]x^2 = 8^2 + 10^2 - 2(8)(10)\cos 40^{\circ} \\ \\ x=\sqrt{8^2 + 10^2 - 2(8)(10)\cos 40^{\circ}} \\ \\ x \approx 6.437[/tex]

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