Oblique+Triangles

But... This case may have no solutions, one solutions, or two solutions. See more details [|after the table]. ||
 * ~ If you know this... ||~ You can solve the triangle this way... ||
 * three angles || There’s not enough information. Without at least one side you have the shape of the triangle, but no way to scale it correctly. For example, the same angles could give you a triangle with sides 7-12-13, 35-60-65, or any other multiple. ||
 * two angles and a side, **AAS** or **ASA** || Find the third angle by subtracting from 180°. then use the Law of Sines* ([|equation 28]) twice to find the second and third sides. ||
 * two sides and ... || the included angle, **SAS** || Use the Law of Cosines* ([|equation 31]) to find the third side. Then use either the Law of Sines* ([|equation 29]) or the Law of Cosines* ([|equation 30]) to find the second angle. ||
 * ^  || a non-included angle, **SSA** || Use the Law of Sines* twice, [|equation 29] to get the second angle and [|equation 28] to get the third side.
 * three sides, **SSS** || With the first form [|equation 30] of the Law of Cosines you use all the sides to compute one angle. Use that angle and its opposite side in the Law of Sines [|equation 29] to find the second angle. ||
 * * If a 90° angle is given, the Law of Sines and the Law of Cosines are overkill. Just apply the definitions of the sine and cosine ([|equation 1]) and the tangent ([|equation 4]) to find the other sides and angles. ||