A triangle has two sides of length 19 and 20. What is the smallest possible whole-number length for the third side?Submit
Question
A triangle has two sides of length 19 and 20. What is the smallest possible whole-number length for the third side?Submit
Solution
The length of the third side of a triangle must be less than the sum of the lengths of the other two sides, but greater than the absolute difference of those two sides. This is known as the triangle inequality theorem.
Given that two sides of the triangle are 19 and 20, the absolute difference between these two lengths is 1 (20 - 19 = 1).
Therefore, the smallest possible whole-number length for the third side of the triangle is 1 + 1 = 2.
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