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list the side lengths of $\\triangle cde$ in order from shortest to lon…

Question

list the side lengths of $\triangle cde$ in order from shortest to longest.
$\square < \square < \square$
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not feeling ready yet? these can help:
triangle angle - sum theorem

Explanation:

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.

Answer:

$DE < CD < CE$