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SSAT Upper Level
Quantitative (Math)

Finding the Length of Side in Triangle Using Law of Sines

Very Hard Geometry And Measurement Trigonometry

In triangle XYZ, angle Y measures $75^{\text{o}}$ and angle Z measures $45^{\text{o}}$. If the length of side YZ is 12 units, calculate the length of side XZ using the Law of Sines.

Recall that the Law of Sines states: $$\f\frac{a}{\sin A} = \f\frac{b}{\sin B} = \f\frac{c}{\sin C}$$ where $a$, $b$, and $c$ are the lengths of the sides opposite angles $A$, $B$, and $C$, respectively.

Hint

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