1. **State the problem:** We have a right triangle with two 45° angles and one right angle, making it an isosceles right triangle. One leg is 6 cm, and we need to find the hypotenuse $t$. 2. **Formula and rules:** In a 45°-45°-90° triangle, the sides are in the ratio $1:1:\sqrt{2}$. The hypotenuse is $\sqrt{2}$ times the length of each leg. 3. **Apply the formula:** Given one leg is 6 cm, the hypotenuse $t$ is: $$t = 6 \times \sqrt{2}$$ 4. **Final answer:** The length of $t$ in simplest radical form is: $$t = 6\sqrt{2}$$ This means the hypotenuse is $6\sqrt{2}$ centimeters long.