Answer:
the length of the unknown leg is 10 cm
Explanation:
Use the Pythagorean theorem to solve the problem. The theorem states that the square of the hypotenuse equals the addition of the squares of the two legs:

since we know the length one of the legs (24 cm) and also of the hypotenuse (26 cm), we can solve for the unknown leg in the equation above:

Therefore, the length of the unknown leg is 10 cm.