A Pythagorean triple consists of 3 positive integers a,b and c such that
[tex]a^2+b^2=c^2[/tex]Then, by substituting the given information into the last result, we get
[tex]x^2+24^2=25^2[/tex]which gives
[tex]x^2+576=625[/tex]By subtracting 576 to both sides, we obtain
[tex]x^2=49[/tex]By taking square root to both sides, we get
[tex]x=7[/tex]Therefore, the answer is: x=7
