11. Ms. Green tells you that a right triangle has a hypotenuse of 13 and a leg of 5. She asks you to find the other leg of the triangle. What is your answer?

Step 1 ：Given a right triangle with hypotenuse \(c = 13\) and one leg \(a = 5\). We are asked to find the length of the other leg \(b\).

Step 2 ：We can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. The formula is \(a^2 + b^2 = c^2\).

Step 3 ：Substitute the given values into the formula: \(5^2 + b^2 = 13^2\).

Step 4 ：Solve for \(b\): \(b = \sqrt{13^2 - 5^2} = 12.0\).

Step 5 ：Final Answer: The length of the other leg of the triangle is \(\boxed{12}\).