Question

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

Explanation:

Step1: Find ∠GHF

∠GHF = 180° - 136° = 44°

Step2: Find ∠G

∠G = 180° - 75° - 44° = 61°

Step3: Match sides to angles

In a triangle, shorter sides opposite smaller angles:

• Smallest angle (44°) → side $\overline{FG}$
• Middle angle (61°) → side $\overline{FH}$
• Largest angle (75°) → side $\overline{GH}$

Answer:

$\overline{FG} < \overline{FH} < \overline{GH}$