, ,

The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.

Substitute the known values into the law of sines to find .

Simplify .

Evaluate .

Divide by .

Multiply both sides of the equation by .

Simplify both sides of the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

The range of sine is . Since does not fall in this range, there is no solution.

No solution

No solution

There are not enough parameters given to solve the triangle.

Unknown triangle

The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.

Substitute the known values into the law of sines to find .

Simplify .

Evaluate .

Divide by .

Multiply both sides of the equation by .

Simplify both sides of the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

The range of sine is . Since does not fall in this range, there is no solution.

No solution

No solution

There are not enough parameters given to solve the triangle.

Unknown triangle

The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.

Substitute the known values into the law of sines to find .

Simplify .

Evaluate .

Divide by .

Multiply both sides of the equation by .

Simplify both sides of the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

The range of sine is . Since does not fall in this range, there is no solution.

No solution

No solution

There are not enough parameters given to solve the triangle.

Unknown triangle

Substitute the known values into the law of sines to find .

Simplify .

Evaluate .

Divide by .

Multiply both sides of the equation by .

Simplify both sides of the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

The range of sine is . Since does not fall in this range, there is no solution.

No solution

No solution

There are not enough parameters given to solve the triangle.

Unknown triangle

Substitute the known values into the law of sines to find .

Simplify .

Evaluate .

Divide by .

Multiply both sides of the equation by .

Simplify both sides of the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

The range of sine is . Since does not fall in this range, there is no solution.

No solution

No solution

There are not enough parameters given to solve the triangle.

Unknown triangle

Substitute the known values into the law of sines to find .

Simplify .

Evaluate .

Divide by .

Multiply both sides of the equation by .

Simplify both sides of the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

The range of sine is . Since does not fall in this range, there is no solution.

No solution

No solution

There are not enough parameters given to solve the triangle.

Unknown triangle

Solve the Triangle a=38 , B=72 , b=12