Question

applications of constructions practice complete this assessment to review what youve learned. it will not count toward your grade. jerald has rolls of wire that are 15 ft, 22 ft, and 40 ft long. he tries to make a triangular chicken pen. use the triangle inequality theorem to verify if this is possible. (1 point) yes, because all the wires are different lengths. yes, because 15 + 40 > 22. no, because 15 + 22 = 37, which is less than 40. no, because 15 + 22 is not greater than 40. check answer remaining attempts: 3

Explanation:

Step1: Recall 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.

Step2: Check side - length combinations

We have side lengths \(a = 15\), \(b=22\) and \(c = 40\). Check \(a + b\), \(a + c\) and \(b + c\) against the third - side rule. First, \(a + b=15 + 22=37\), and \(37<40\). Since \(15 + 22\) is not greater than \(40\), a triangle cannot be formed.

Answer:

No, because \(15 + 22\) is not greater than \(40\).