To calculate the area of a triangle, you can use the formula:
[tex]\[ A = \frac{1}{2} \text{ base} \cdot \text{ height} \][/tex]
Here's a step-by-step breakdown of the formula:
1. Identify the base and height:
- The base ([tex]\( \text{base} \)[/tex]) is one side of the triangle, usually the bottom side when the triangle is drawn in a standard position.
- The height ([tex]\( \text{height} \)[/tex]) is the perpendicular distance from the base to the opposite vertex (the top point).
2. Apply the area formula for a triangle:
- The area ([tex]\( A \)[/tex]) of a triangle is obtained by multiplying one half (or 0.5) by the length of the base and the height.
3. Write the formula:
[tex]\[ A = \frac{1}{2} \text{ base} \cdot \text{ height} \][/tex]
This equation signifies that you take half the product of the base length and the height to get the area.
Comparing this step-by-step breakdown with the given options, the correct option is:
[tex]\[ A = \frac{1}{2} \text{ base} \cdot \text{ height} \][/tex]
This correctly represents the area formula for a triangle. The other options provided are formulas for different geometric figures or incorrect variations.
