Answer:
[tex]x = 24[/tex]
Step-by-step explanation:
When given a right triangle, one can apply the Pythagorean theorem. The Pythagorean theorem states;
[tex]a^2 + b^2 = c^2[/tex]
Where ([tex]a[/tex]) and ([tex]b[/tex]) are legs or the sides adjacent to the right angle, and ([tex]c[/tex]) is the hypotenuse or the side opposite the right angle.
Substitute the given value, and solve for the missing value;
[tex]7^2 + x^2 = 25^2\\[/tex]
Simplify,
[tex]49 + x^2 = 625[/tex]
Inverse operations,
[tex]49 + x^2 = 625\\-49\\\\x^2 = 576\\\sqrt{}\\\\x = 24[/tex]
