Final answer:
To solve the problem, we can use the Pythagorean theorem and set up an equation to find the lengths of the two legs of the right triangle.
Step-by-step explanation:
To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). In this case, let's assume that the length of one leg is x, so the length of the other leg would be 2x + 10. The hypotenuse is given as 25. Using the Pythagorean theorem, we can set up the equation as follows:
x^2 + (2x + 10)^2 = 25^2
Expanding and solving this equation will give us the values of x and 2x + 10, which are the lengths of the two legs of the right triangle.