QUESTION IMAGE
Question
- write the sides of $\triangle efg$ in order in the boxes from the longest side to the shortest side.\
\\(\boldsymbol{m\angle e = 68^\circ}\\)\
\\(\boldsymbol{m\angle f = 62^\circ}\\)\
\
| longest side | medium side | shortest side | \ |
| --- | --- | --- | \ |
Step1: Find $\angle G$
Sum of angles in triangle is $180^\circ$.
$$m\angle G = 180^\circ - 68^\circ -62^\circ = 50^\circ$$
Step2: Match sides to opposite angles
Longest side opposite largest angle: $\angle E=68^\circ$ $
ightarrow FG$
Medium side opposite $\angle F=62^\circ$ $
ightarrow EG$
Shortest side opposite $\angle G=50^\circ$ $
ightarrow EF$
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- Longest Side: $FG$
- Medium Side: $EG$
- Shortest Side: $EF$