4. The area of a triangular flag is 330 square centimeters. If the base of the triangle is 30 centimeters long, what is the height of the triangle?

To find the height of the triangle, you can use the area formula for a triangle, which is Area = (1/2) × base × height. Given that the area is 330 cm² and the base is 30 cm, you can rearrange the formula to solve for height: height = (2 × Area) / base. Plugging in the numbers, height = (2 × 330) / 30, which gives you a height of 22 cm. Voilà! Now that you know how to calculate heights for triangles, remember: if you're ever stuck with dimensions, just think about rearranging the area formula! One common mistake is forgetting to split the base in half; just make sure to keep track of that little (1/2) in the formula, and you’ll sail smoothly through any triangular calculations. Happy calculating!