Question

list the sides in order from longest to shortest
(there is a triangle def with angle at d being 125°, angle at e being 30°, angle at f being 25°)
options:

• △ ed, ef, dr
• ◇ ed, df, ef
• ○ df, ef, ed
• □ ef, df, ed

Explanation:

Step1: Recall Angle-Side Relationship

In a triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle.

Step2: Identify Angles in Triangle DEF

Angles: $\angle D = 125^\circ$, $\angle E = 30^\circ$, $\angle F = 25^\circ$. Order of angles from largest to smallest: $\angle D > \angle E > \angle F$.

Step3: Identify Opposite Sides

• Opposite $\angle D$: $EF$
• Opposite $\angle E$: $DF$
• Opposite $\angle F$: $ED$

Step4: Order Sides by Angle Opposite

Since $\angle D > \angle E > \angle F$, their opposite sides follow: $EF > DF > ED$ (longest to shortest: $EF, DF, ED$). Wait, check options. Wait, maybe I mixed up. Wait, angle opposite $ED$ is $\angle F = 25^\circ$, opposite $DF$ is $\angle E = 30^\circ$, opposite $EF$ is $\angle D = 125^\circ$. So side opposite largest angle ($\angle D$) is $EF$ (longest), then opposite $\angle E$ is $DF$, then opposite $\angle F$ is $ED$ (shortest). So order longest to shortest: $EF, DF, ED$. Looking at options, the green square (fourth option) is "EF, DF, ED".

Answer:

Green Square (Fourth Option): EF, DF, ED