Productive ToolboxTriangle Land Area Calculator
Calculate triangular plot area using base & height, Heron's formula, or coordinates. Instant unit conversions included.
Triangle Land Area Calculator
Calculate triangular plot area using base & height, Heron's formula (three sides), or vertex coordinates. Instant unit conversions included.
Settings
Triangle Area
Base & Height
Bottom edge of the triangle
Perpendicular height to base
Quick Presets
Related tools
What is a Triangle Land Area Calculator?
A Triangle Land Area Calculator is a specialized land measurement tool that calculates the area of triangular plots of land. Many real-world land parcels are triangular or contain triangular sections — corner lots, wedge-shaped fields, and irregular plots often require triangle area calculations for accurate land measurement, pricing, and planning.
This calculator supports three methods: the simple Base × Height formula when you know the base and perpendicular height, Heron's Formula when you know all three side lengths, and the Coordinate Method when you have GPS or survey coordinates for the three vertices.
Results are instantly converted to square feet, square meters, acres, hectares, square yards, and more. A step-by-step breakdown shows exactly how the area was calculated, making it useful for both professionals and students.
How to Use the Triangle Land Area Calculator
- 1Pick the method: Choose base × height, three sides (Heron's formula) or corner coordinates.
- 2Choose the units: Select the input unit and the main output unit.
- 3Enter the measurements: Type the base and height, the three side lengths, or the three corner coordinates.
- 4Read the area: See the area with conversions to sq ft, m², acres and hectares and a step-by-step breakdown.
Triangle Area Formulas
| Method | Formula | Example |
|---|---|---|
| Base × Height | Area = (Base × Height) ÷ 2 | Base=50ft, H=30ft → 750 ft² |
| Heron's Formula | s=(a+b+c)/2, Area=√(s(s-a)(s-b)(s-c)) | 10-12-14 ft → 58.79 ft² |
| Coordinates | Area = ½|x₁(y₂−y₃)+x₂(y₃−y₁)+x₃(y₁−y₂)| | (0,0)(10,0)(5,8) → 40 ft² |
Example Calculations
| Plot | Inputs | Area (ft²) | Acres |
|---|---|---|---|
| Small Corner Lot | Base=50ft, H=30ft | 750 | 0.0172 |
| Medium Plot | Base=120ft, H=85ft | 5,100 | 0.117 |
| Large Field | Base=300ft, H=200ft | 30,000 | 0.689 |
| Heron 10-12-14 ft | a=10, b=12, c=14 ft | 58.79 | 0.00135 |
| Heron 30-40-50 ft | a=30, b=40, c=50 ft | 600 | 0.0138 |
Who Uses This Calculator?
Land Owners
Calculate the area of corner lots, wedge-shaped plots, and irregular triangular parcels.
Surveyors
Quickly compute triangular section areas from field measurements or GPS coordinates.
Farmers
Measure triangular field sections for crop planning, irrigation, and yield estimation.
Engineers
Calculate triangular land areas for site planning, grading, and construction layouts.
Real Estate
Verify triangular plot sizes for accurate property valuation and listing.
Students
Learn and verify triangle area formulas with step-by-step calculation breakdowns.
Frequently Asked Questions
How do I find the area of a triangular plot?
With base and perpendicular height: Area = ½ × base × height. A lot with a 200 ft base and 150 ft height is 15,000 sq ft (0.34 acre).
What if I only know the three sides?
Use Heron's formula: s = (a + b + c) ÷ 2, Area = √(s(s − a)(s − b)(s − c)). Sides of 300, 400 and 500 ft give 60,000 sq ft (1.38 acres).
What is the triangle inequality?
Any two sides together must be longer than the third. If not, the lengths cannot form a triangle and the calculator shows an error; recheck the measurements.
How do I use coordinates?
Enter the x and y of each corner in feet or meters (for example from a site plan). The area is ½ |x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂)|.
How do I convert to acres or hectares?
Divide square feet by 43,560 for acres, or square meters by 10,000 for hectares.
Related Tools
Survey Area Calculator
Calculate surveyed land area.
Polygon Area Calculator
Calculate area of irregular land shapes.
Trapezoid Land Calculator
Calculate trapezoid land area.
Boundary Length Calculator
Calculate boundary perimeter.
Plot Division Calculator
Divide land into equal plots.
Map Scale Calculator
Convert map scale to real distance.
Land Price Calculator
Calculate total land cost based on rate.
Land Area Calculator (Square Feet)
Calculate land area in square feet from length and width, with feet, meter and yard inputs.
Land Area Calculator (Square Meter)
Convert and calculate land area in square meters.
Land Development Cost Calculator
Calculate full land development cost.
Katha Land Calculator
Calculate land in katha units (South Asia).
Bigha Land Calculator
Calculate land in bigha system.