Question

list the side lengths of $\triangle gij$ in order from shortest to longest.

Explanation:

Step1: Find ∠IGJ

∠IGJ = 180° - 133° = 47°

Step2: Find ∠GIG (∠I)

∠I = 180° - 47° - 61° = 72°

Step3: Match sides to angles

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

• Smallest angle (47°) → Opposite side $JI$
• Middle angle (61°) → Opposite side $GI$
• Largest angle (72°) → Opposite side $GJ$

Answer:

$JI < GI < GJ$