1. The problem is to find the area of a right-angled triangle with legs measuring 9 m and 16 m. 2. The formula for the area of a right-angled triangle is: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ 3. Here, the base is 16 m and the height is 9 m. 4. Substitute the values into the formula: $$\text{Area} = \frac{1}{2} \times 16 \times 9$$ 5. Calculate the multiplication: $$\text{Area} = \frac{1}{2} \times 144$$ 6. Simplify the fraction: $$\text{Area} = \cancel{\frac{1}{2}} \times \cancel{144}$$ $$\text{Area} = 72$$ 7. The area of the triangle is 72 square meters. 8. Rounded to 1 decimal place, the area is 72.0 m².