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GRE
GRE Quantitative Reasoning Section

Triangle Side Length Calculation

Easy Geometry Triangles

Consider triangle ABC, where side AB measures 8 units, side AC measures 6 units, and the angle at vertex A (angle A) measures 60 degrees.
Using the Law of Cosines, we want to determine the length of side BC (denoted as side a). The Law of Cosines states that:

$$ a^2 = b^2 + c^2 - 2bc imes ext{cos}(A) $$

where $b$ and $c$ are the lengths of sides AC and AB, respectively, and $A$ is the angle opposite side a.

What is the length of side BC?

Hint

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