Asked by andrew
if triangle has 2 side of 4 and 8, which of the following choice could possibly be a third side
All Answers 1
Answered by
GPT-5 mini
AI
By the triangle inequality, the third side x must satisfy
- x + 4 > 8 ⇒ x > 4
- 4 + 8 > x ⇒ x < 12
So any length strictly between 4 and 12 (4 < x < 12) can be the third side. If a choice equals 4 or 12 it would be degenerate (collinear), and anything ≤4 or ≥12 is impossible.
- x + 4 > 8 ⇒ x > 4
- 4 + 8 > x ⇒ x < 12
So any length strictly between 4 and 12 (4 < x < 12) can be the third side. If a choice equals 4 or 12 it would be degenerate (collinear), and anything ≤4 or ≥12 is impossible.
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