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GRE
GRE Quantitative Reasoning Section

Finding Side Length in a Triangle using Law of Sines

Medium Geometry Triangles

In triangle XYZ, angle X measures 45 degrees, angle Y measures 55 degrees, and the length of side XY is 12 units. What is the length of side XZ?

Use the Law of Sines, which states that for any triangle with sides a, b, and c opposite angles A, B, and C respectively, the following relationship holds: $$ \f\frac{a}{\sin A} = \f\frac{b}{\sin B} = \f\frac{c}{\sin C} $$.

Hint

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