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5. write the sides of $\\triangle efg$ in order in the boxes from the l…

Question

  1. 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 sidemedium sideshortest side\
---------\

Explanation:

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$

Answer:

  1. Longest Side: $FG$
  2. Medium Side: $EG$
  3. Shortest Side: $EF$