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PSAT/NMSQT
PSAT Math Test - Calculator Section

Finding Side Length in Triangle with Sine Law

Hard Additional Topics In Math Trigonometry

In triangle ABC, angle A is 30 degrees, angle B is 60 degrees, and side AC measures 10 units. What is the length of side AB?

To solve for side AB, you can use the Law of Sines, which is given by the formula:

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

In this case, side AC is opposite angle B, and side AB is opposite angle C. You will need to find angle C first.

Hint

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