A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?  Choose the correct choice from the following options
A) 8  B) 6  C) 1  D) 5  E) 4
The measure of the third side of a triangle must lie between the sum and the difference of the other two sides. Using this fact along with the answer choices, we can eliminate the wrong answers.   cannot be correct because 4 would not be the longest side.(sides 4, 5, and 4)   could be correct because the other two sides would be 3 and 4.   cannot be correct because this third side would be greater than the sum of the other two sides.   Answer: 6
<result>B</result>
A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?