Unlock accurate geometry with our free Triangle Area Calculator. Easily determine the area of any triangle using either base and height or all three side lengths (Heron's formula). Get precise results instantly for academic, construction, or design needs. Simplify complex calculations now!
Formula:
Triangle Area Formulas Explained
The area of a triangle can be calculated using different formulas, depending on the information you have:
1. Using Base and Height:
This is the most common formula when the base and perpendicular height are known:
Area = ½ × base × height
Where:
- base (b): The length of the base of the triangle.
- height (h): The perpendicular height from the base to the opposite vertex.
2. Using Three Sides (Heron's Formula):
If you know the lengths of all three sides (a, b, c) of the triangle, you can use Heron's formula:
First, calculate the semi-perimeter (s):
s = (a + b + c) / 2
Then, calculate the area:
Area = √(s(s - a)(s - b)(s - c))
Where:
- a, b, c: The lengths of the three sides of the triangle.
- s: The semi-perimeter of the triangle.