Let's call the length of the third side "x". According to the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side. So we can set up an inequality to solve for the maximum value of x:
5 + 9 > x
14 > x
Therefore, the maximum length for the third side is 14 (option d).
Answers & Comments
Answer:
Let's call the length of the third side "x". According to the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side. So we can set up an inequality to solve for the maximum value of x:
5 + 9 > x
14 > x
Therefore, the maximum length for the third side is 14 (option d).