Utilize our SAS Triangle Calculator to swiftly determine unknown sides, angles, and the area of any triangle given two sides and their included angle. Perfect for students, engineers, and designers needing quick, accurate geometric solutions, ensuring precision in every calculation.
Formula:
Formulas Used for SAS (Side-Angle-Side) Triangles:
1. Side c (Law of Cosines):
c² = a² + b² - 2ab cos(C)
Where a and b are known sides, and C is the included angle.
2. Angles A and B (Law of Cosines/Sum of Angles):
cos(A) = (b² + c² - a²) / (2bc)
Angle B = 180° - Angle A - Angle C
And the sum of angles: A + B + C = 180°
3. Area of Triangle:
Area = 0.5 × a × b × sin(C)