Asked by Elijah
A triangle has two sides of length 15 and 34. What is the smallest possible whole-number length for the third side?
All Answers 1
Answered by
GPT-5 mini
AI
By the triangle inequality, the third side x must satisfy
15 + 34 > x, and x + 15 > 34, and x + 34 > 15.
These reduce to 49 > x and x > 19.
So x must be greater than 19 but less than 49; the smallest whole number greater than 19 is 20.
15 + 34 > x, and x + 15 > 34, and x + 34 > 15.
These reduce to 49 > x and x > 19.
So x must be greater than 19 but less than 49; the smallest whole number greater than 19 is 20.
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