question
in $ \triangle def $, $ ef = 13 $, $ fd = 2 $, and $ de = 14 $. which statement about the angles of $ \triangle def $ must be
answer
true?
$ m \angle e m \angle d m \angle f $
$ m \angle d m \angle e m \angle f $
$ m \angle d m \angle f m \angle e $
$ m \angle f m \angle e m \angle d $
$ m \angle f m \angle d m \angle e $
$ m \angle e m \angle f m \angle d $

Question

question
in $ \triangle def $, $ ef = 13 $, $ fd = 2 $, and $ de = 14 $. which statement about the angles of $ \triangle def $ must be
answer
true?
$ m \angle e > m \angle d > m \angle f $
$ m \angle d > m \angle e > m \angle f $
$ m \angle d > m \angle f > m \angle e $
$ m \angle f > m \angle e > m \angle d $
$ m \angle f > m \angle d > m \angle e $
$ m \angle e > m \angle f > m \angle d $

Accepted Answer

# Explanation:
## Step1: Recall the triangle side - angle relationship
In a triangle, the larger side is opposite the larger angle.
## Step2: Compare the side lengths
Given $EF = 13$, $FD=2$, and $DE = 14$. So, $DE>EF>FD$.
## Step3: Determine the angle - side relationship
Since $DE$ is the longest side, the angle opposite to $DE$ (which is $\angle F$) is the largest angle. Since $EF$ is the second - longest side, the angle opposite to $EF$ (which is $\angle D$) is the second - largest angle. Since $FD$ is the shortest side, the angle opposite to $FD$ (which is $\angle E$) is the smallest angle. So, $m\angle F>m\angle D>m\angle E$.

# Answer:
$m\angle F > m\angle D>m\angle E$ (the first option in the upper - left corner of the image)

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the triangle side - angle relationship

Step2: Compare the side lengths

Step3: Determine the angle - side relationship

Answer: