# Solve the Triangle a=12 , b=11 , A=35

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 .
Solve the equation for .
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 .
Take the inverse sine of both sides of the equation to extract from inside the sine.
Evaluate .
The sine function is positive in the first and second quadrants. To find the second solution, 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 .
Add and .
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 find .
Solve the equation for .
Factor each term.
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.
Rewrite 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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### Name

Name two hundred nineteen million six hundred forty-two thousand sixteen

### Interesting facts

• 219642016 has 128 divisors, whose sum is 1819537344
• The reverse of 219642016 is 610246912
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 31
• Digital Root 4

### Name

Name one billion one hundred sixty-seven million four hundred ninety-two thousand thirty-eight

### Interesting facts

• 1167492038 has 4 divisors, whose sum is 1751238060
• The reverse of 1167492038 is 8302947611
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 41
• Digital Root 5

### Name

Name two hundred fifty-one million four hundred fifty-seven thousand five hundred fifty-seven

### Interesting facts

• 251457557 has 4 divisors, whose sum is 252595596
• The reverse of 251457557 is 755754152
• Previous prime number is 221

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 41
• Digital Root 5