1. The problem is to find the area of a triangle given its 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. Important rule: The base and height must be perpendicular to each other. 4. Suppose the base is $b$ and the height is $h$. Substitute these values into the formula. 5. Calculate the product $\frac{1}{2} \times b \times h$. 6. Simplify the expression to get the area. This formula works for any triangle as long as the base and height are perpendicular. Final answer: $$\text{Area} = \frac{1}{2} b h$$