Final answer:
The length of the other leg of the right triangle is √11.
Step-by-step explanation:
To find the length of the other leg of a right triangle, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
Let's denote the length of one leg as a, the length of the other leg as b, and the length of the hypotenuse as c.
We are given that b = √5 and c = 4. We can use the Pythagorean theorem to find the length of a.
Using the formula c^2 = a^2 + b^2, we have 4^2 = a^2 + (√5)^2.
Simplifying this equation, we get 16 = a^2 + 5. Subtracting 5 from both sides, we find a^2 = 11.
Taking the square root of both sides, we get a = √11.
Therefore, the length of the other leg of the right triangle is √11.