Question

determine if the side lengths could form a triangle. 5 in, 7 in, 1 in

Explanation:

Step1: Apply triangle inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Check \(5 + 1>7\)
\(5+1 = 6\) and \(6<7\)

Step2: Conclude

Since \(5 + 1
ot>7\), the side - lengths \(5\) in, \(7\) in, \(1\) in do not satisfy the triangle inequality theorem.

Answer:

No, the side lengths \(5\) in, \(7\) in, \(1\) in cannot form a triangle.