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Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 9,8



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Final answer:

For side lengths 9 and 8, the range would be 1 < third side < 17.

Step-by-step explanation:

To find the range of possible measures for the third side of a triangle given two side lengths, we can use the triangle inequality theorem.

According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So, for a triangle with side lengths 9 and 8, the range of possible measures for the third side would be any value greater than 1 but less than the sum of the two known side lengths:

1 < third side < (9 + 8)

=> 1 < third side < 17.

User Nikandr Marhal
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