Fundamental Triangle Properties

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1.
In a triangle with sides a = 5, b = 7, and included angle C = 60 degrees, find side c.
2.
The sine rule states that in triangle ABC, a / sin A equals which of the following?
3.
In triangle ABC, if a = 8, b = 8, and C = 120 degrees, find c.
4.
In a triangle, a = 3, b = 4, c = 5. Find angle C.
5.
In triangle ABC, if a = 6, A = 30 degrees, and B = 45 degrees, find b using the sine rule.

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