Answer:
10 inches
Explanation:
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the given side lengths are 13 inches and 4 inches.
To find the possible lengths for the third side, we can apply the triangle inequality theorem.
The sum of the two given side lengths is 13 + 4 = 17 inches.
To satisfy the triangle inequality theorem, the length of the third side must be greater than the difference between the sum of the two given side lengths and less than the sum of the two given side lengths.
Therefore, the possible lengths for the third side are between 17 - 13 and 17 + 13, which is between 4 and 30 inches.
From the given options, the only length that falls within this range is 10 inches.
So, the length of the third side of this triangle could be 10 inches.