Question

determine if the side lengths could form a triangle. 10 ft, 18 ft, 7 ft

Explanation:

Step1: Apply triangle inequality theorem

For three side lengths \(a\), \(b\), \(c\) (\(a\leq b\leq c\)), check if \(a + b>c\). Here \(a = 7\), \(b = 10\), \(c = 18\).

Step2: Calculate \(a + b\)

\(7+10=17\)

Step3: Compare \(a + b\) with \(c\)

Since \(17<18\) (i.e., \(7 + 10<18\))

Answer:

No, the side lengths \(10\) ft, \(18\) ft, \(7\) ft cannot form a triangle.