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SSAT Upper Level
Quantitative (Math)

Finding Side Length in Triangle using Law of Sines

Very Hard Geometry And Measurement Triangles

In triangle ABC, angle A measures 30 degrees, angle B measures 60 degrees, and side AC measures 10 units. Determine the length of side AB, using the Law of Sines. The Law of Sines states that:

$$\f\frac{a}{\sin A} = \f\frac{b}{\sin B} = \f\frac{c}{\sin C},$$

where $$a$$, $$b$$, and $$c$$ are the lengths of the sides opposite angles $$A$$, $$B$$, and $$C$$ respectively.

Calculate the length of side AB.

Hint

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