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SSAT Upper Level
Quantitative (Math)

Calculating Length in a Right Triangle Using Tangent

Medium Geometry And Measurement Trigonometry

In triangle XYZ, angle X measures $45^{\circ}$, and side YZ (the side opposite angle X) has a length of 8 units. Calculate the length of side XZ (the side adjacent to angle X).

Use the trigonometric relationship for tangent, where: $$\tan(\theta) = \f\frac{\text{opposite}}{\text{adjacent}}$$.

Hint

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