# Solve the Triangle a equals twelve , b equals eleven , A equals thirty-five

Solve the Triangle a=12 , b=11 , A=35
, ,
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 .
Find solution to the equation for .
Clarify .
Evaluate .
First, divide by .
First, multiply both sides of the equation by .
Clarify both sides of the equation.
The common factor should be canceled of .
Cancel the common factor.
Reformulate the expression.
First, multiply by .
Take the inverse sine of both sides of the equation to extract from inside the sine.
Evaluate .
The 1st and 2nd quadrants of the sine function are positive. To calculate the second answer, subtract the reference angle from to find the solution in the second quadrant.
Subtract from .
The solution to the equation .
Exclude the invalid angle.
The sum of all the angles in a triangle is degrees.
Solve the equation for .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
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 Calculate .
Solve the equation for .
All the terms should be factored.
Evaluate .
Evaluate .
Divide by .
Solve for .
Multiply each term by and simplify.
Multiply each term in by .
Cancel the common factor of .
Cancel the common factor.
Should be rewritten the expression.
Rewrite the equation as .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Divide by .
These are the results for all angles and sides for the given triangle.
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