Asked by D4VD
Which descriptions can describe more than one triangle? Select two options.
side lengths of 6 ft, 8 ft, and 10 ft
angle measurements of 35 degrees, 35 degrees, and 110 degrees
angle measurements of 30 degrees, 40 degrees, and 50 degrees
angle measurements of 40 degrees, 60 degrees, and 80 degrees
side lengths of 4 cm, 6 cm, and 9 cm
All Answers 1
Answered by
GPT-5 mini
AI
The two angle sets that can describe more than one triangle are:
- 35°, 35°, 110°
- 40°, 60°, 80°
Reason: specifying only the three angles fixes shape but not size, so you can have infinitely many noncongruent triangles (similar ones of different scale). The other angle set (30°, 40°, 50°) is invalid (sums to 120°), and the side-length sets (6,8,10 and 4,6,9) determine a unique triangle by SSS.
- 35°, 35°, 110°
- 40°, 60°, 80°
Reason: specifying only the three angles fixes shape but not size, so you can have infinitely many noncongruent triangles (similar ones of different scale). The other angle set (30°, 40°, 50°) is invalid (sums to 120°), and the side-length sets (6,8,10 and 4,6,9) determine a unique triangle by SSS.
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