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Question
in triangle abc, ab measures 25 cm and ac measures 35 cm. the inequality <s< represents the possible third side length of the triangle, s, in centimeters. the inequality <p< represents the possible values for the perimeter, p, of the triangle, in centimeters.
Step1: Apply triangle - side length rule
The length of the third side \(s\) of a triangle with side lengths \(a\) and \(b\) satisfies the inequality \(|a - b|
Step2: Find perimeter inequality
The perimeter \(p\) of a triangle with side lengths \(a = 25\), \(b = 35\) and \(s\) is \(p=a + b + s=25 + 35 + s=60 + s\).
Since \(10
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The first inequality: \(10The second inequality: \(70