Algebra Word Problem

Question

The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 1717 inches and a second side that is 44 inches less than twice the third side, what are the possible lengths for the second and third sides?



Answer 1

Let x be the length of the third side:

Side 1 = 17 inches

Side 2 is 44 less than twice side 3, so it's 2x - 44

Side 3 = x

Side 1 + Side 2 > Side 3

17 + 2x - 44 > x

Solve for x.