x = 25
Step-by-step explanation: The Pythagorean theorem is used in solving for the unknown sides of a right angled triangle, and is given as;
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse (also the longest side), and AB and BC are the other two sides. The question provides two sides and the hypotenuse is unknown. Hence, we can substitute for the known values into the Pythagoras theorem as follows;
AC^2 = 24^2 + 7^2
AC^2 = 576 + 49
AC^2 = 625
Add the square root sign to both sides of the equation
AC = 25
The hypotenuse AC is labeled as x in the diagram, therefore x = 25