No Results
No results found for your search. Please try another term.
Online Triangle Calculator
Calculate triangle properties including sides, angles, perimeter, and area efficiently using base-height, Heron's formula, Law of Cosines, and Law of Sines with this easy-to-use online tool.
| EQUILATERAL ACUTE TRIANGLE | |||
|---|---|---|---|
| Side a | 5 | Angle A | 60° = 1.047198 rad |
| Side b | 5 | Angle B | 60° = 1.047198 rad |
| Side c | 5 | Angle C | 60° = 1.047198 rad |
| Area | 10.82532 | Height ha | 4.330127 |
| Perimeter p | 15 | Height hb | 4.330127 |
| Semiperimeter s/th> | 7.5 | Height hc | 4.330127 |
| Median ma | 4.330127 | Inradius r | 1.443376 |
| Median mb | 4.330127 | Circumradius R | 2.886751 |
| Median mc | 4.330127 | ||
Oops! Something went wrong. Please try again.
What Is This Tool?
This calculator allows users to determine various properties of a triangle such as side lengths, interior angles, perimeter, and area. It applies fundamental triangle formulas based on the available inputs, using precise arithmetic for accurate geometric calculations.
How to Use This Tool?
- Enter known values of sides, angles, base, or height
- Choose the type of calculation or let the tool detect based on inputs
- Click the calculate button to process the data
- Review the computed triangle measurements such as area, perimeter, and unknown sides or angles
- Adjust inputs as needed to refine results or explore different scenarios
Key Features
- Calculates area using base and height or Heron's formula
- Solves unknown sides and angles via Law of Cosines
- Determines sides or angles using Law of Sines
- Supports input of partial triangle data to find missing values
- Provides high-precision floating-point arithmetic results
- Browser-based and easy to use without installation
Examples
- Given sides a=7, b=8, c=9, calculate area using Heron's formula: s = (7+8+9)/2 = 12, area ≈ 26.83.
- Compute an unknown side using Law of Cosines when two sides and the included angle are known.
- Find the missing angles with Law of Sines based on available sides and angles.
Common Use Cases
- Students solving geometry and trigonometry problems
- Engineers and architects designing triangular components or structures
- Builders and surveyors calculating dimensions for construction projects
- CAD designers modeling triangle-based designs
- Anyone needing reliable triangle measurements for physics or math applications
Tips & Best Practices
- Ensure input values satisfy the triangle inequality for valid results
- Provide as much known data as possible for higher accuracy
- Double-check angle units and side length inputs for consistency
- Use the tool to verify manual calculations for reliability
- Be mindful that trigonometric results may involve rounding approximations
Limitations
- Cannot compute results for invalid triangles (violating triangle inequality)
- Outputs may be approximations due to rounding of trigonometric functions
- Requires at least minimal valid input data to perform calculations
Frequently Asked Questions
- Can I calculate the area if only sides are given?
- Yes, the calculator uses Heron's formula which computes the area based on all three side lengths.
- What happens if my inputs do not form a valid triangle?
- The tool cannot produce a result if the inputs violate the triangle inequality, indicating an invalid triangle.
- Can I find angles from side lengths only?
- Yes, the Law of Cosines is used to find angles when all sides are known.
Key Terminology
- a, b, c
- The lengths of the triangle's sides.
- A, B, C
- The interior angles opposite to the sides a, b, and c respectively.
- b, h
- The base length and height used to calculate area.
- s
- The semi-perimeter, half the sum of all side lengths.
- A (area)
- The total area enclosed within the triangle.