Triangle Calculator
Triangle Calculator
How it works: This calculator uses the Side-Side-Side (SSS) method to calculate triangle properties. Enter three side lengths, and the calculator will determine if they form a valid triangle, then calculate the area using Heron's formula, perimeter, angles using the law of cosines, and height. The calculator also identifies the triangle type (equilateral, isosceles, or scalene) and checks if it's a right triangle.
Overview
Comprehensive triangle calculator using the Side-Side-Side (SSS) method to determine triangle properties including area, perimeter, angles, and type. Features include Heron's formula, triangle type identification, and right triangle detection.
About
About Triangle Geometry
Triangles are fundamental geometric shapes with three sides and three angles. They are the building blocks of more complex geometric shapes and have unique properties that make them essential in mathematics, engineering, architecture, and physics.
Features:
- Calculate area using Heron's formula
- Determine perimeter and angles
- Identify triangle types (equilateral, isosceles, scalene)
- Detect right triangles
- Validate triangle feasibility
Triangle Types
Triangles can be classified by sides (equilateral, isosceles, scalene) or by angles (acute, right, obtuse). Each type has specific properties and applications. Understanding these classifications helps in solving geometric problems and real-world applications.
FAQ
What's Heron's formula?
Heron's formula calculates triangle area from side lengths: Area = √[s(s-a)(s-b)(s-c)], where s is the semi-perimeter.
How do you calculate triangle angles from sides?
Use the law of cosines: cos(A) = (b² + c² - a²) ÷ 2bc, then A = arccos(result).
What makes a triangle valid?
The sum of any two sides must be greater than the third side. This is called the triangle inequality theorem.
How do you identify triangle types?
Equilateral: all sides equal. Isosceles: two sides equal. Scalene: all sides different. Right: a² + b² = c².
What's the difference between area and perimeter?
Area is the space inside the triangle (square units). Perimeter is the distance around the outside (linear units).