About This Tool
The AAS (Angle-Angle-Side) case is when you know two angles and a side that is NOT between them. The known side is opposite one of the known angles. Like ASA, this case always has exactly one solution.
The calculator first finds the third angle (angles sum to 180ยฐ), then uses the Law of Sines to find the remaining two sides. You get the complete solution: all sides, all angles, area, perimeter, heights, and a visual diagram.
AAS and ASA are mathematically similar โ both involve two angles and one side. The difference is only in which side you know relative to the angles.
How to Use
1. Enter the two known angles (for example, A and B)
2. Enter the known side โ this should be opposite one of your known angles
3. For example: if you know angles A and B, you could enter side a (opposite angle A) or side b (opposite angle B)
4. The third angle is calculated as 180ยฐ - A - B
5. The remaining sides are found using Law of Sines
6. View the complete solution with step-by-step explanation
Formula
Third angle:
C = 180ยฐ - A - B
Law of Sines (to find remaining sides):
a/sin(A) = b/sin(B) = c/sin(C)
If you know side a (opposite angle A):
b = a ยท sin(B) / sin(A)
c = a ยท sin(C) / sin(A)
Area:
Area = ยฝ ยท a ยท b ยท sin(C)