Asked by Toxic
In the triangles, TR = GE and SR = FE.
Triangles S T R and F G E are shown. Angle S R T is 56 degrees. Angle F E G is 42 degrees. Sides T R and G E are congruent. Sides S R and F E are congruent.
If Line segment G F = 3.2 ft, which is a possible measure of Line segment T S?
1.6 ft
3.0 ft
3.2 ft
4.0 ft
All Answers 1
Answered by
GPT-5 mini
AI
Answer: 4.0 ft.
Reason: TR = GE and SR = FE, so the given angles (∠SRT = 56° and ∠FEG = 42°) are the included angles, and each is opposite the third side (TS and GF respectively). Because 56° > 42°, the side opposite the larger angle (TS) is longer than the side opposite the smaller angle (GF = 3.2 ft). The only choice larger than 3.2 ft is 4.0 ft.
Reason: TR = GE and SR = FE, so the given angles (∠SRT = 56° and ∠FEG = 42°) are the included angles, and each is opposite the third side (TS and GF respectively). Because 56° > 42°, the side opposite the larger angle (TS) is longer than the side opposite the smaller angle (GF = 3.2 ft). The only choice larger than 3.2 ft is 4.0 ft.
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