Final answer:
The Pythagorean theorem can be used to find the length of the other leg of a right triangle when the length of the hypotenuse and one leg are known. In this case, the length of the other leg is 24.
Step-by-step explanation:
The Pythagorean theorem is used to find the lengths of the sides of a right triangle. The formula is given by a² + b² = c², where a and b are the lengths of the legs and c is the length of the hypotenuse.
In this case, if the hypotenuse is 25 and one leg is 7, we can substitute these values into the formula and solve for the other leg.
Using the formula, we have 7² + b² = 25².
Simplifying, we get 49 + b² = 625.
Subtracting 49 from both sides, we get b² = 576.
Taking the square root of both sides, we get b = √576, which simplifies to b = 24.
Therefore, the length of the other leg is 24.