1. **Problem Statement:** Find the area of a triangle with base $b$ and height $h$. 2. **Formula:** The area $A$ of a triangle is given by the formula: $$A = \frac{1}{2} \times b \times h$$ 3. **Explanation:** This formula comes from the fact that a triangle is half of a parallelogram with the same base and height. 4. **Example:** Suppose the base $b = 10$ units and the height $h = 6$ units. 5. **Calculation:** Substitute the values into the formula: $$A = \frac{1}{2} \times 10 \times 6 = 5 \times 6 = 30$$ 6. **Answer:** The area of the triangle is $30$ square units. This method applies to any triangle when the base and corresponding height are known.