A triangle has two sides of length 16 and 4. What is the largest possible whole-number length for the third side?
Question
A triangle has two sides of length 16 and 4. What is the largest possible whole-number length for the third side?
Solution
The length of the third side of a triangle must be less than the sum of the lengths of the other two sides, according to the triangle inequality theorem.
So, the maximum length of the third side would be 16 + 4 = 20.
However, the question asks for the largest possible whole number length for the third side. Therefore, the third side must be less than 20.
So, the largest possible whole number length for the third side is 19.
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