# Solve the Triangle A=42 , a=26 , b=18

Solve the Triangle A=42 , a=26 , b=18
, ,
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 .
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 one billion seven hundred ninety-eight million six hundred eighty-three thousand nine hundred twenty-two

### Interesting facts

• 1798683922 has 16 divisors, whose sum is 2793987072
• The reverse of 1798683922 is 2293868971
• Previous prime number is 92687

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 55
• Digital Root 1

### Name

Name two hundred five million seven hundred forty-seven thousand nine hundred eighty-three

### Interesting facts

• 205747983 has 8 divisors, whose sum is 209584128
• The reverse of 205747983 is 389747502
• Previous prime number is 383

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 45
• Digital Root 9

### Name

Name one billion one hundred ninety million six hundred sixty-six thousand six hundred sixty-two

### Interesting facts

• 1190666662 has 16 divisors, whose sum is 1845021312
• The reverse of 1190666662 is 2666660911
• Previous prime number is 1453

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 43
• Digital Root 7