The area of triangle ABC can be calculated using the formula:
Area = (1/2) × base × height
In this formula, the ‘base’ is the length of one side of the triangle, and the ‘height’ is the perpendicular distance from that base to the opposite vertex. To find the area, you simply need to know the measurements of the base and the height.
For example, if side AB is chosen as the base and the height from point C to line AB is 5 units, and the length of base AB is 10 units, the area of triangle ABC would be:
Area = (1/2) × 10 × 5 = 25 square units.
Remember, the concept of area in triangles can also be explored using Heron’s formula or trigonometric methods if the triangle’s vertex coordinates or angles are given. However, the base-height method is the most straightforward when those measurements are available.