Triangle Calculator
How to Work This Calculator
Use this calculator to find triangle properties like area, perimeter, angles, and sides:
- Select a calculation method (e.g., three sides, two sides and an angle).
- Choose the unit for side lengths (meters, cm, or feet).
- Enter the required values (side lengths in your chosen unit, angles in degrees).
- Click "Calculate Triangle" to view area, perimeter, angles, sides, and a visualization.
- Download a PDF summary by clicking "Download Results as PDF".
Understanding Triangles
A triangle is a three-sided polygon defined by its sides and angles. It’s a fundamental shape in geometry, used in fields like architecture, engineering, and physics.
Triangle Properties
Triangles are classified by sides (equilateral, isosceles, scalene) or angles (acute, right, obtuse). Key properties include:
- Area: Calculated using Heron's formula or base-height method.
- Perimeter: Sum of all side lengths.
- Angles: Sum to 180°, with relationships governed by the Law of Sines and Cosines.
Applications
Use this calculator for tasks like designing structures, calculating land areas, or solving trigonometry problems in education.
Frequently Asked Questions
How is the area of a triangle calculated?
For three sides, use Heron's formula: Area = √[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2. For two sides and an angle, use Area = (1/2)ab sin(C).
What is the Law of Sines?
The Law of Sines states: a/sin(A) = b/sin(B) = c/sin(C), used to find unknown angles or sides.
Can this calculator handle any triangle?
Yes, it supports scalene, isosceles, and equilateral triangles, as long as inputs form a valid triangle.