# Sine Law Calculator and Solver

Online calculators, using the sine law, to solve triangle problems. The first calculator solves triangle problems when 2 angles and one side opposite one of the angles are given (AAS case). The second calculator solves triangle problems when 2 angles and one side between the two angles are given (ASA case). The third calculator solves triangle problems when 2 sides and one angle opposite one of the sides are given (SSA case). The last case (SSA) is very interesting as it may have no solutions, one solution or two solutions.

The sine law for the above triangle is written as

a / sin(A) = b / sin(B) = c / sin(C)

and is used to solve triangle problems.

## 1 - Use Sine Law Calculator When 2 Angles and one Opposite Side are Given (AAS case)

Enter the 2 angles A and B (in DEGREES) and side a (opposite angle A) as positive real numbers and press "Calculate and Solve Triangle". The outputs are sides b and c and angle C in DEGREES.

 angle A = 35 angle B = 76 side a = 10 Decimal Places = 2 side b = side c = Angle C = °

## 2 - Use Sine Law Calculator when 2 Angles and one Side Between them are Given (ASA case)

Enter the 2 angles A and B (in DEGREES) and side c (between angles A and B) as positive real numbers and press "Calculate and Solve Triangle". The outputs are sides a and b and angle C in DEGREES.

 angle A = 35 angle B = 76 side c = 10 Decimal Places = 2 side b = side a = Angle C = °

## 3 - Use Sine Law Calculator when 2 Sides and one opposite Angle are Given (SSA case)

Enter sides a and b and angle A (in DEGREES) as positive real numbers and press "Calculate and Solve Triangle". The outputs are side c and angles B and C in DEGREES.
NOTE: These problems might have one, two solutions or no solutions. This is called the ambiguous case.

 side a = 10 side b = 15 Angle A = 30 Decimal Places = 2 side c = Angle B = ° ° Angle C = ° °