---
title: "Triangle Calculator — Solve Any Triangle (SSS, SAS, AAS)"
description: "Solve any triangle from any combination of sides and angles. Uses law of sines and cosines. Returns all sides, angles, area, and perimeter. Free, instant results."
url: "https://worldcalculators.org/calculators/triangle/"
canonical: "https://worldcalculators.org/calculators/triangle/"
---

# Triangle Calculator

Solve any triangle from any combination of sides and angles. Uses law of sines and cosines. Returns all sides, angles, area, and perimeter. Free, instant results.

## Quick answer

Law of Cosines (SSS/SAS): a² = b² + c² − 2bc×cos(A). Law of Sines (AAS/ASA): a/sin(A) = b/sin(B) = c/sin(C). Area = ½ab×sin(C). Angles in any triangle sum to 180°.

## Frequently Asked Questions

a/sin(A) = b/sin(B) = c/sin(C), where a, b, c are side lengths and A, B, C are the opposite angles. Use it when you know two angles and one side (AAS/ASA).
a² = b² + c² − 2bc·cos(A). It generalises the Pythagorean theorem. Use it when you know 3 sides (SSS) or 2 sides and the included angle (SAS).

Source: https://worldcalculators.org/calculators/triangle/
Markdown mirror of the HTML page. Prefer this URL for RAG; the interactive calculator still lives on the HTML page.