1. The problem asks to find the length of the missing side (hypotenuse) of the triangle labeled "b" with legs 6 cm and 6 cm. 2. We use the Pythagorean theorem for right triangles: $$a^2 + b^2 = c^2$$ where $a$ and $b$ are the legs and $c$ is the hypotenuse. 3. Here, both legs are equal: $a = 6$ cm and $b = 6$ cm. We want to find $c = b$. 4. Substitute the values into the formula: $$6^2 + 6^2 = b^2$$ 5. Calculate the squares: $$36 + 36 = b^2$$ 6. Add the values: $$72 = b^2$$ 7. Take the square root of both sides to solve for $b$: $$b = \sqrt{72}$$ 8. Simplify the square root: $$b = \sqrt{36 \times 2} = \sqrt{36} \times \sqrt{2} = 6\sqrt{2}$$ 9. Therefore, the length of the missing side $b$ is $6\sqrt{2}$ cm, approximately 8.49 cm. This means the hypotenuse of the triangle with legs 6 cm and 6 cm is $6\sqrt{2}$ cm.