Law of Sines and Cosines Practice

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What is the Law of Sines?

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What does side 'a' represent in the Law of Sines?

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In the Law of Sines, side 'a' is the length of the side opposite angle 'A'.

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What does side 'b' represent in the Law of Sines?

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In the Law of Sines, side 'b' is the length of the side opposite angle 'B'.

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How do you set up the Law of Sines to find a missing side?

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Front

What is the Law of Cosines?

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Front

When do you use the Law of Cosines instead of the Law of Sines?

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Use the Law of Cosines when you know two sides and the included angle (SAS) or all three sides (SSS) of a triangle.

Front

What is the formula for finding an angle using the Law of Cosines?

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How can you determine if a triangle is possible with given side lengths?

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A triangle is possible if the sum of the lengths of any two sides is greater than the length of the third side (Triangle Inequality Theorem).

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What is the significance of the ambiguous case in the Law of Sines?

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The ambiguous case occurs when two sides and a non-included angle (SSA) are known, leading to potentially two different triangles, one triangle, or no triangle.

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How do you find the area of a triangle using the Law of Sines?

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