Question 1191826
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TRIANGLE INEQUALITY: The length of the longest side of a triangle must be less than the sum of the lengths of the other two sides; otherwise a triangle can't be formed.<br>
(1) If the 9 and 15 are the two shorter sides, the third side must be less than 9+15 = 24 to make a triangle.<br>
(2) If 15 is the longest side and one of the other sides is 9, then the long side is 6 longer than that other side, so the length of the third side must be greater than 6 for the three lengths to make a triangle.<br>
ANSWER: The length of the third side must be greater than 6 and less than 24.<br>