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GRE
GRE Quantitative Reasoning Section

Triangle Side Length Comparison

Medium Geometry Triangles

Consider triangle ABC. In triangle ABC, the measure of angle A is 40 degrees, and the measure of angle B is 70 degrees. If the length of side a (the side opposite angle A) is 10 units, what is the length of side b (the side opposite angle B)? Use the Law of Sines, which states that for a triangle with angles A, B, and C and corresponding opposite sides a, b, and c, the following relationship holds:

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

Determine whether the length of side b is greater than, less than, or equal to the length of side a.

Hint

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