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SSAT Upper Level
Quantitative (Math)

Finding the Hypotenuse in a Right Triangle

Very Easy Geometry And Measurement Trigonometry

In triangle ABC, angle A measures 30 degrees, and the length of the side opposite angle A (side a) is 5 units. What is the length of the hypotenuse (side c) of triangle ABC?

Use the sine function, which relates the opposite side to the hypotenuse in a right triangle, defined as:

$ ext{sine(A)} = \f\frac{\text{opposite}}{\text{hypotenuse}}$

This means that in this triangle:

$\sin(30^\circ) = \f\frac{a}{c}$

Hint

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