# Law of Sines Calculator

> Solve any triangle using a/sin(A) = b/sin(B) = c/sin(C) with AAS, ASA, and SSA cases, including the ambiguous case.

**URL:** https://www.calculatoranswers.com/law-of-sines-calculator
**Category:** Education

## Quick Answer

Solve missing sides and angles of a triangle using the Law of Sines. Supports AAS, ASA, and SSA inputs, showing all possible solutions.

## Definition

A Law of Sines calculator solves oblique or right triangles using the trigonometric ratio of side lengths to sines of opposite angles. Given two angles and a side (AAS, ASA) or two sides and a non-included angle (SSA), the calculator uses the formula to find the remaining angles and side lengths. It automatically detects and evaluates the ambiguous case (SSA) where zero, one, or two valid triangles exist.

## How to Use

1. **Select congruence mode** — Choose either AAS (Angle-Angle-Side), ASA (Angle-Side-Angle), or SSA (Side-Side-Angle) based on your known measurements.
2. **Enter measurements** — Input the values of the known sides and angles (angles must be entered in degrees).
3. **Read triangle solution** — View the resolved sides, angles, and step-by-step derivation details. If two valid solutions exist (ambiguous case), both will be shown.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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