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Question
list the side lengths of $\triangle cde$ in order from shortest to longest.
$\square < \square < \square$
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work it out
not feeling ready yet? these can help:
triangle angle - sum theorem
Step1: Match sides to opposite angles
In $\triangle CDE$:
- Side $CE$ is opposite $\angle D = 75v$
- Side $DE$ is opposite $\angle C = 39v$
- Side $CD$ is opposite $\angle E = 66v$
Step2: Order angles from smallest to largest
$39v < 66v < 75v$
Step3: Map to corresponding sides
In a triangle, the shortest side is opposite the smallest angle, and the longest side is opposite the largest angle.
So the sides follow the same order as their opposite angles.
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$DE < CD < CE$