1. \( \frac{1}{2} \cdot b \cdot h \) \( \frac{1}{2} \cdot \frac{6}{1} \cdot \frac{10}{1} \)

Did you know that the formula \( \frac{1}{2} \cdot b \cdot h \) is used to calculate the area of a triangle? This formula dates back to ancient civilizations, where geometry was essential for tasks like land surveying and architecture. The 'b' represents the base of the triangle, and the 'h' is its height. Grab a ruler and see how easy it is to apply this knowledge! When you plug in \( b = 6 \) and \( h = 10 \) into the formula, you first calculate \( \frac{1}{2} \cdot 6 = 3 \), and then multiply that by 10 to get an area of 30 square units. A common mistake is forgetting to divide by 2 before multiplying by the height, but with a little practice, you’ll be slicing up triangles like a pro!