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GRE
GRE Quantitative Reasoning Section

Finding the Length of a Side in a Triangle

Very Easy Geometry Triangles

In triangle XYZ, the lengths of sides XY and YZ are both 6 units, and angle XYZ measures 60 degrees. What is the length of side XZ?

To find the length of side XZ, you can use the Law of Cosines, which states that for any triangle with sides $a$, $b$, and $c$, opposite to angles $A$, $B$, and $C$, where $C$ is the included angle, the formula is:

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

Hint

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