1. The problem is to find the length of the unknown side $h$ in a right triangle where one leg is 22 and the hypotenuse is 26. 2. We use the Pythagorean theorem for right triangles: $$a^2 + b^2 = c^2$$ where $c$ is the hypotenuse and $a$, $b$ are the legs. 3. Here, let $h$ be the unknown leg, so: $$h^2 + 22^2 = 26^2$$ 4. Calculate the squares: $$h^2 + 484 = 676$$ 5. Subtract 484 from both sides: $$h^2 = 676 - 484$$ $$h^2 = 192$$ 6. Take the square root of both sides to solve for $h$: $$h = \sqrt{192}$$ 7. Simplify the square root: $$h = \sqrt{64 \times 3} = 8\sqrt{3}$$ 8. Approximate to the nearest tenth: $$h \approx 8 \times 1.732 = 13.9$$ Final answer: The length of the unknown side $h$ is approximately 13.9.