Calculate the area of a triangle using various methods including base and height, three sides (Heron's formula), two sides and included angle, and coordinates of vertices.
Triangle Area
Available Formulas:
Base and Height: Area = (1/2) × base × height
Heron's Formula: Area = √[s(s-a)(s-b)(s-c)] where s = (a+b+c)/2
Two Sides and Angle: Area = (1/2) × a × b × sin(C)
Coordinates: Area = (1/2)|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)|
How to Use This Calculator
This triangle area calculator supports four different calculation methods:
Base and Height: Enter the base and perpendicular height of the triangle
Three Sides: Enter all three side lengths to use Heron's formula
Two Sides and Angle: Enter two sides and the angle between them
Coordinates: Enter the x and y coordinates of all three vertices
About Triangle Area Calculation
The area of a triangle can be calculated using various methods depending on what information you have available. The most common method uses the base and height, but when you don't have the height, alternative formulas like Heron's formula or trigonometric methods can be used.
Key Features
Multiple calculation methods for flexibility
Support for decimal values for precise calculations
Instant results with proper validation
Clear formula references for educational purposes
Works with any unit of measurement (just keep units consistent)
Tips for Accurate Results
Always use the same unit of measurement for all inputs
For Heron's formula, ensure the three sides can form a valid triangle (sum of any two sides must be greater than the third)
When using angles, enter values in degrees (0-180)