24. If two sides of a triangle measure 14 and 19, what is the inequality for the third side?
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19-14 < x < 19+14
To find the inequality for the third side of a triangle, we can use the Triangle Inequality Theorem. According to this theorem, in any triangle, the sum of the lengths of any two sides is always greater than the length of the third side.
In this case, the two given sides measure 14 and 19. Let's denote the third side as "x".
According to the Triangle Inequality Theorem, we have the following inequality:
14 + 19 > x
Simplifying this equation, we get:
33 > x
Therefore, the inequality for the third side is x < 33, which means the length of the third side must be less than 33 units.