Find the Hypotenuse AC in Right Triangle with Legs 11 and 10

To solve the problem of finding the hypotenuse AC in right triangle ABC, we will use the Pythagorean theorem:

• Step 1: Identify leg lengths. According to the problem, leg AB is $11$, and leg BC is $10$.
• Step 2: Apply the Pythagorean theorem: $a^2 + b^2 = c^2$.
• Step 3: Substitute the known values: $11^2 + 10^2 = AC^2$.
• Step 4: Calculate: $121 + 100 = AC^2$.
• Step 5: Simplify: $221 = AC^2$.
• Step 6: Take the square root of both sides to solve for AC: $AC = \sqrt{221}$.

Therefore, the length of AC is $\sqrt{221}$.