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When working with an SAS triangle—a triangle where two sides and the included angle are known—it is essential to follow a structured approach. The Side-Angle-Side (SAS) method involves first finding the unknown side and then determining the other two angles. Solving SAS Triangles For example, consider a triangle where Angle A = 49°, side b = 5, and side c = 7. The first step is to use the Law of Cosines to calculate the missing side a: a2=b2+c2−2bc⋅cos⁡(A)a² = b² + c² – 2bc \cdot \cos(A)a2=b2+c2−2bc⋅cos(A) By substituting the given values: a2=52+72−2×5×7×cos⁡(49°)a² = 5² + 7² – 2 \times 5 \times 7 \times \cos(49°)a2=52+72−2×5×7×cos(49°) Solving this equation step by […]