Find all possible lengths of the third side, if sides of a triangle have 2 and 5.

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
So, difference of two sides <x< sum of two sides, will give you the possible length of a triangle.
Therefore, 5−2<x<5+2
3<x<7 is the possible length of the third side of a triangle.
For checking the possible length: Take 2,5,4
2+5>4(a + b>c)
5+4>2(b + c>a)
2+4>5(a + c>b)
Hence, the above condition satisfied the triangle inequality theorem.