Given:
We're given the value of two sides of triangles, which are 26 and 48 meters.
To find:
We need to find the range of possible lengths of the side.
Step-by-step solution:
To solve these problems, we need to use a simple concept that the sum of any two sides of a triangle is greater than the third side.
x + y > z
x + z > y
y + z > x
Putting the value is the equation:
x + 26 > 48
x + 48 > 26
48 + 26 > x
Upon further solving:
x > 22
x > -22
74 > x
Combining the above inequalities:
The range of the third side of the triangle is equal to:
22 < x < 74 (It is the correct answer of the question)