SSA Triangle Calculator

SSA (Side-Side-Angle) ambiguous case: two sides and a non-included angle are known. The tool calculates the missing side or angle using the Law of Sines, handling the ambiguous case (0, 1, or 2 possible triangles) and displaying step-by-step calculations and the resulting triangle geometry. It supports solving for sides, angles, area, and perimeter given sufficient initial data. } } , { "type": "text", "text": "The tool calculates missing sides or angles in a triangle given sufficient initial data (two angles and a side, or two sides and a non-included angle). It supports scenarios where you know two angles and one side (AAS or ASA), two sides and a non-included angle (SSA), or all three sides (SSS). The calculator determines unknown side lengths or angle measures, checks triangle validity (triangle inequality), and handles the ambiguous case (SSA) where two different triangles may satisfy the given conditions. It provides step-by-step solutions showing the Law of Sines application, calculates triangle area, and determines if zero, one, or two triangles are possible based on the given dimensions. The tool handles cases where no triangle exists, one unique triangle exists, or two possible triangles exist (the ambiguous case).