In a right triangle, you can use the Pythagorean theorem to find the length of the other leg. The theorem states that:
\[ a^2 + b^2 = c^2 \]
where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the other two legs.
In your case, let’s denote:
- the length of one leg as \(y\),
- the length of the hypotenuse as \(x\),
- the length of the other leg as \(z\).
According to the Pythagorean theorem:
\[ y^2 + z^2 = x^2 \]
To find the length of the other leg \(z\), rearrange the equation:
\[ z^2 = x^2 - y^2 \]
Now, take the square root of both sides to solve for \(z\):
\[ z = \sqrt{x^2 - y^2} \]
So, the length of the other leg is:
\[ z = \sqrt{x^2 - y^2} \]
Make sure that \(x\) is greater than \(y\) for the lengths to be valid in a right triangle.