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Triangle Area Calculator
Calculate triangle area using base & height or Heron's formula
How Triangle Area Calculation Works
Triangle area can be calculated using different methods depending on the available information. The most common methods are base-height formula and Heron's formula for three known sides.
Choose calculation method based on available measurements
Enter the required measurements in the input fields
Click "Calculate Area" to compute the results
View area, perimeter (if applicable), and calculation steps
Copy results for your records or calculations
Base & Height Method:
Formula: Area = ½ × base × height
Requires base length and perpendicular height
Works for all triangle types
Most intuitive method for right triangles
Heron's Formula (Three Sides):
Formula: Area = √[s(s-a)(s-b)(s-c)] where s = (a+b+c)/2
Requires all three side lengths
Works for any triangle type (scalene, isosceles, equilateral)
Automatically calculates perimeter as well
Common Examples:
Right Triangle: Base=3, Height=4 → Area=6
Equilateral: Sides=5,5,5 → Area≈10.83
Scalene: Sides=7,8,9 → Area≈26.83
Isosceles: Sides=6,6,8 → Area=17.89
Real-World Applications:
Construction: Roof area, land surveying
Engineering: Structural design, force calculations
Design: Graphic design, 3D modeling
Education: Geometry problems, mathematical proofs
Triangle Properties:
Sum of any two sides must be greater than the third side
Area is always measured in square units
Height must be perpendicular to the base
Heron's formula works for all valid triangles