Area and Perimeter of Triangles and Quadrilaterals A triangle is a polygon with 3 sides and 3 angles. The area of a triangle is a measure of its "filling...
A triangle is a polygon with 3 sides and 3 angles. The area of a triangle is a measure of its "filling" or the amount of space it occupies. It is calculated using the formula A = (1/2) * b * h, where A is the area, b is the length of one base, and h is the length of the altitude from the base to the highest point.
For example, consider the following triangle:
\text{side 1} & \text{side 2} & \text{side 3} \\\ 5 & 12 & 13 \end{array}$$ The area of this triangle can be found by calculating (1/2) * 5 * 12 = 60 square units. A **quadrilateral** is a polygon with 4 sides and 4 angles. The area of a quadrilateral is a measure of the "filling" of the entire shape, similar to the area of a triangle. It is calculated using the formula **A = (1/2) * (sum of the lengths of all four sides)**. For instance, consider the following quadrilateral: $$\begin{array}{cccc} \text{side 1} & \text{side 2} & \text{side 3} & \text{side 4} \\\ 6 & 8 & 10 & 12 \end{array}$$ The area of this quadrilateral can be found by calculating (1/2) * (6 + 8 + 10 + 12) = 48 square units. ## Additional Notes * The perimeter of a triangle or quadrilateral is the total length of all its sides. It is calculated by adding the lengths of all four sides. * The perimeter of a quadrilateral is always greater than the area, as it requires the measurement of all four sides. * The area and perimeter of a geometric figure can be found using the same formula, with the appropriate values substituted