Respuesta :
Answer:
The answer is: c^2=33^2+37^2-2(33)(37)cos120
Step-by-step explanation:
:D
The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The correct option is D.
What is the Law of Cosine?
The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,
[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]
where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
Given that the length of the two sides of the triangle is 33 and 37 units, and the measure of the angle between the two sides is 120°. Therefore, using the law of cosine,
[tex]c =\sqrt{a^2 + b^2 -2ab\cdot \cos\theta}\\\\c =\sqrt{33^2 + 37^2 -2(33)(37)\cdot \cos(120^o)}\\\\c^2 =33^2 + 37^2 -2(33)(37)\cdot \cos(120^o)[/tex]
Hence, the correct option is D.
Learn more about the Law of Cosine:
https://brainly.com/question/17289163
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