Calculatorism.com

Triangle Calculator

Calculate the unknown angles, sides, area, height, perimeter, and inradius of a triangle with any three known values. Our advanced triangle calculator provides step-by-step solutions and visual representations for a better understanding.

Triangle Calculator

Triangle Visualization

Understanding Triangles

Types of Triangles

  • Equilateral Triangle: All three sides are equal in length, and all three angles are 60°.
  • Isosceles Triangle: Two sides are equal in length, and the angles opposite those sides are equal.
  • Scalene Triangle: All three sides have different lengths, and all three angles are different.
  • Right Triangle: One angle is exactly 90°, and the side opposite this angle is the hypotenuse.

Triangle Formulas

Area Calculation:

1. Standard formula: Area = (base × height) / 2

2. Heron's formula: Area = √[s(s-a)(s-b)(s-c)], where s is the semiperimeter

Law of Sines:

a/sin(A) = b/sin(B) = c/sin(C)

Law of Cosines:

c² = a² + b² - 2ab·cos(C)

How to Use This Calculator

  1. Select the type of triangle you are working with.
  2. Choose the known values combination from the dropdown.
  3. Enter the values for the corresponding fields.
  4. Click the "Calculate" button to compute the results.
  5. View the detailed results and visual representation of your triangle.

Real-World Applications

Triangles are fundamental in various fields:

Architecture

Structural stability and design calculations.

Art & Design

Creating perspective and composition.

Navigation

Determining distances and directions.

Engineering

Truss analysis and load distribution.