Question

describe the possible lengths of the third side of the triangle given that the lengths of the other two sides are 5 inches and 12 inches.
□ in. < x < □ in.

Explanation:

Step1: Apply triangle - side - length relationship

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side, and the difference of the lengths of any two sides must be less than the length of the third side. Let the two given sides be \(a = 5\) and \(b=12\), and the third side be \(x\). Then \(b - a

Step2: Calculate the values

Substitute \(a = 5\) and \(b = 12\) into the inequalities. \(12-5

Answer:

\(7\) in. \(