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Law of Cosines
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Triangle with sides a = 6.5, b = 7.5, and angle C = 80°
c = \sqrt{6.5^2 + 7.5^2 - 2 \cdot 6.5 \cdot 7.5 \cdot \cos(80°)}
Triangle with sides b = 10, c = 14, and angle A = 125°
a = \sqrt{10^2 + 14^2 - 2 \cdot 10 \cdot 14 \cdot \cos(125°)}
Triangle with sides a = 5, c = 7, and angle B = 60°
b = \sqrt{5^2 + 7^2 - 2 \cdot 5 \cdot 7 \cdot \cos(60°)}
Triangle with sides a = 4.5, b = 5.5, and angle C = 70°
c = \sqrt{4.5^2 + 5.5^2 - 2 \cdot 4.5 \cdot 5.5 \cdot \cos(70°)}
Triangle with sides b = 8, c = 12, and angle A = 30°
a = \sqrt{8^2 + 12^2 - 2 \cdot 8 \cdot 12 \cdot \cos(30°)}
Triangle with sides a = 7, c = 9, and angle B is not known but b = 10
\cos(B) = \frac{7^2 + 9^2 - 10^2}{2 \cdot 7 \cdot 9}
Triangle with sides a = 8, b = 10, and angle C = 45°
c = \sqrt{8^2 + 10^2 - 2 \cdot 8 \cdot 10 \cdot \cos(45°)}
Triangle with sides b = 6, c = 9, and angle A = 120°
a = \sqrt{6^2 + 9^2 - 2 \cdot 6 \cdot 9 \cdot \cos(120°)}
Triangle with sides a = 5, b = 11, and angle C = 110°
c = \sqrt{5^2 + 11^2 - 2 \cdot 5 \cdot 11 \cdot \cos(110°)}
Triangle with sides a = 4, b = 13, and angle C = 50°
c = \sqrt{4^2 + 13^2 - 2 \cdot 4 \cdot 13 \cdot \cos(50°)}
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