1. The problem involves a right triangle with sides named kateta (vertical leg), kateto (horizontal leg), and hipotenuza (hypotenuse). 2. According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse equals the sum of the squares of the legs: $$\text{hipotenuza}^2 = \text{kateta}^2 + \text{kateto}^2$$ 3. This formula allows you to find the length of any side if the other two are known. 4. For example, if you want to find the hipotenuza, you calculate $$\text{hipotenuza} = \sqrt{\text{kateta}^2 + \text{kateto}^2}$$ 5. If you want to find kateta or kateto, rearrange the formula accordingly, for example: $$\text{kateta} = \sqrt{\text{hipotenuza}^2 - \text{kateto}^2}$$ 6. Remember, the hipotenuza is always the longest side opposite the right angle. 7. This relationship is fundamental in geometry and trigonometry for right triangles.