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- Find the length of side C. - A = 10, B = 3, C= 120 degree - Law of Cosines: c^2 = a^2 b^2 - 2ab*cosC - C = [?]

Find The Length Of Side C A 10 B 3 C 120 Degree Law Of Cosines C2 A2 B2 2abcosC C class=

Sagot :

sqdancefan

Answer:

  11.8

Step-by-step explanation:

You want side c of obtuse ∆ABC with a=10, b=3, C=120°.

Law of cosines

The given values can be used in the given law of cosines formula to find ...

  c² = a² +b² -2ab·cos(C)

  c² = 10² +3² -2(10)(3)·cos(120°) = 100 +9 -60(-0.5) = 139

  c = √139 ≈ 11.8

The length of side c is about 11.8 units.

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