- 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=](https://us-static.z-dn.net/files/d57/d495a89b91f5c780db638e3b87de6834.png)
Answer:
11.8
Step-by-step explanation:
You want side c of obtuse ∆ABC with a=10, b=3, C=120°.
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.