AAS Triangle Calculator
Solve AAS (Angle-Angle-Side) triangles using the law of sines. Find missing angles and side lengths. Free online triangle solver with step-by-step results.
About This Calculator
The AAS Triangle Calculator solves triangles where two angles and a non-included side are known. Using the angle sum (180 deg) and the law of sines, it finds all missing measurements.
Law of Sines: a/sin(A) = b/sin(B) = c/sin(C)
Frequently Asked Questions
What is an AAS triangle?
AAS (Angle-Angle-Side) describes a triangle where two angles and a non-included side are known. This is sufficient to completely solve the triangle using the law of sines. The third angle is found from the angle sum property (180 deg), then the law of sines gives the missing sides.
How do you solve an AAS triangle?
First, find angle C = 180 deg - A - B. Then apply the law of sines: a/sin(A) = b/sin(B) = c/sin(C). Since side a is known, the common ratio is a/sin(A). Then b = axsin(B)/sin(A) and c = axsin(C)/sin(A).
What is the law of sines?
The law of sines states that in any triangle, the ratio of each side length to the sine of its opposite angle is constant: a/sin(A) = b/sin(B) = c/sin(C). This fundamental relationship is essential for solving triangles when you know two angles and any side (AAS or ASA).