Question

find the shortest side of $\triangle dfg,$

Explanation:

Step1: Calculate ∠DFG

∠DFG = 180° - 110° = 70°

Step2: Calculate ∠FDG

∠FDG = 180° - 70° - 61° = 49°

Step3: Match sides to opposite angles

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

• ∠FDG = 49° (smallest angle), opposite side FG
• ∠DGF = 61°, opposite side FD
• ∠DFG = 70°, opposite side DG

Answer:

The shortest side of △DFG is FG.