The measures of two sides of a triangle are 14 feet and 29 feet. if the measure of the third side is x feet, find the range for the value of x.

For this case we must find the possible range of values of the triangle, adding both sides, or subtracting both sides.
 We have then:
 Subtracting both sides:
 29 - 14 = 15
 Adding both sides:
 29 + 14 = 43
 The range for x is 15 <x <43
 Answer
 The range for x is 15 <x <43