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Trigonometry with All Triangles Challenge While the most studied formulas for working with general triangles are the Law of Sines and the Law of Cosines,

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Trigonometry with All Triangles Challenge While the most studied formulas for working with general triangles are the Law of Sines and the Law of Cosines, there are other useful properties that hold. One of these properties is known as the Law of Tangents. B Given any triangle with angles of measure A, B, and C and side lengths a, b, and . tan a-b 2 C a+b tan(A;B) Given the triangle below, complete the following. 1. ldentify the side lengths corresponding to a, b, and c. Which side length is unknown? 16 24 2. Determine the value of . s s e 3. Use the value you found in number 2 and the Law of Tangents to approximate a A $id value for 2 A EEE _ AB 4/ find the approximate values of A and B. B and A+ 4. Use your values for > _E 5. Using any method, solve the triangle completely by finding the missing side length. EE

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