1. **State the problem:** We have a right triangle with hypotenuse 26 cm, one leg 10 cm, and the other leg labeled $b$. We need to find the length of $b$. 2. **Formula used:** In a right triangle, the Pythagorean theorem applies: $$a^2 + b^2 = c^2$$ where $c$ is the hypotenuse, and $a$, $b$ are the legs. 3. **Apply the formula:** Here, $c = 26$ cm, one leg $a = 10$ cm, and the other leg is $b$. $$10^2 + b^2 = 26^2$$ 4. **Calculate squares:** $$100 + b^2 = 676$$ 5. **Isolate $b^2$:** $$b^2 = 676 - 100$$ $$b^2 = 576$$ 6. **Find $b$ by taking the square root:** $$b = \sqrt{576}$$ $$b = 24$$ 7. **Answer:** The missing length $b$ is 24 cm.