Final answer:
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem and substitute the given values. Solving for the missing leg, we find that it is 24 units long.
Step-by-step explanation:
The length of the other leg of a right triangle can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs.
Given that the hypotenuse is 26 and one leg is 10, we can substitute these values into the Pythagorean theorem: 10^2 + b^2 = 26^2.
Solving for b, we have b^2 = 26^2 - 10^2, b^2 = 676 - 100, b^2 = 576. Taking the square root of both sides, we find that b = √576 = 24.