Triangle Area Formulas
There are multiple ways to calculate a triangle's area depending on what measurements you know.
Base & Height: Area = (1/2) × base × height
Heron's: s = (a+b+c)/2, Area = √(s(s−a)(s−b)(s−c))
SAS: Area = (1/2) × a × b × sin(C)
Heron's: s = (a+b+c)/2, Area = √(s(s−a)(s−b)(s−c))
SAS: Area = (1/2) × a × b × sin(C)
Types of Triangles
- Right triangle: One 90° angle; base and height are two of its legs.
- Equilateral: All 3 sides equal. Area = (√3/4) × side².
- Isosceles: Two equal sides.
- Scalene: All sides different — use Heron's formula.