1. The problem asks to find the area of a triangle given the base and height. 2. The formula for the area of a triangle is: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ 3. From the problem, the base length is given as $7.8$ and the height $h$ is $5.27$. 4. Substitute these values into the formula: $$\text{Area} = \frac{1}{2} \times 7.8 \times 5.27$$ 5. Calculate the multiplication first: $$7.8 \times 5.27 = 41.106$$ 6. Now multiply by $\frac{1}{2}$: $$\frac{1}{2} \times 41.106 = 20.553$$ 7. Therefore, the area of the triangle is: $$\boxed{20.553}$$ This means the area is approximately 20.553 square units.