Question

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.

Answer 1

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