The possible lengths of the third side of the triangle are 18 and 24.
How to calculate the possible length of the third side?
The possible length of the third side of the triangle is calculated by applying the following formula as shown below;
Based on the principles of side lengths of a triangle, the sum of any two sides of the triangle must be greater than the third side.
let the third side of the triangle = k
18 + 26 > k
44 > k
18 + k > 26
k > 26 - 18
k > 8
So the third side of the triangle must be less than 44 and also greater than 8.
8 < k < 44
Thus, the possible lengths of the third side of the triangle is;
18 and 24.