Triangle Calculator
Calculate triangle properties with precision and ease.
Triangle Properties
Perimeter:
Semi-perimeter:
Area:
Triangle Type:
Angles:
Angle A:
Angle B:
Angle C:
About Our Triangle Calculator
Our Triangle Calculator is a powerful, user-friendly tool designed to help students, teachers, and professionals calculate various properties of triangles quickly and accurately.
Key Features:
- Calculate area using Heron's formula
- Determine perimeter and semi-perimeter
- Calculate all interior angles
- Identify triangle type (equilateral, isosceles, scalene)
- Verify triangle inequality theorem
How to Use:
- Enter the length of side A
- Enter the length of side B
- Enter the length of side C
- Click "Calculate Triangle" to see all triangle properties
Understanding Triangle Types:
Equilateral Triangle: All three sides are equal in length, and all interior angles are 60 degrees.
Isosceles Triangle: Two sides are equal in length, and the angles opposite to those sides are also equal.
Scalene Triangle: All three sides have different lengths, and all interior angles are different.
Frequently Asked Questions
How is the area of a triangle calculated?
Our calculator uses Heron's formula to find the area of any triangle when all three sides are known. The formula is: Area = √(s(s-a)(s-b)(s-c)), where s is the semi-perimeter (a+b+c)/2, and a, b, c are the lengths of the three sides.
What is the triangle inequality theorem?
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Our calculator verifies this condition to ensure the sides you entered can form a valid triangle.
How are the angles calculated?
The angles are calculated using the Law of Cosines. For example, to find angle A: cos(A) = (b² + c² - a²)/(2bc), where a, b, c are the lengths of the three sides.