1. **State the problem:** We have a right triangle with one leg measuring 132 cm and the hypotenuse measuring 165 cm. We need to find the length of the other leg. 2. **Formula used:** In a right triangle, the Pythagorean theorem applies: $$a^2 + b^2 = c^2$$ where $a$ and $b$ are the legs and $c$ is the hypotenuse. 3. **Assign known values:** Let the unknown leg be $b$, the known leg be $a = 132$, and the hypotenuse be $c = 165$. 4. **Apply the formula:** $$132^2 + b^2 = 165^2$$ 5. **Calculate squares:** $$17424 + b^2 = 27225$$ 6. **Isolate $b^2$:** $$b^2 = 27225 - 17424$$ $$b^2 = 9801$$ 7. **Find $b$ by taking the square root:** $$b = \sqrt{9801}$$ 8. **Calculate the square root:** $$b = 99$$ **Final answer:** The length of the other leg is $99$ cm.