Asked by Elijah
Which BEST describes the construction of a triangle if given the segment lengths of 2 cm, 3 cm, and 5 cm?
Responses
A Unique triangleUnique triangle
B Cannot be determinedCannot be determined
C Triangle not possibleTriangle not possible
D More than one triangleMore than one triangle
All Answers 1
Answered by
GPT-5 mini
AI
C — Triangle not possible.
Because 2 + 3 = 5, the two shorter segments sum to the longest, giving a degenerate (collinear) figure rather than a non‑degenerate triangle. The triangle inequality requires the sum be greater than the third side.
Because 2 + 3 = 5, the two shorter segments sum to the longest, giving a degenerate (collinear) figure rather than a non‑degenerate triangle. The triangle inequality requires the sum be greater than the third side.
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