Solve the Triangle tri{15}{}{}{}{9}{106}

Solve the Triangle tri{15}{}{}{}{9}{106}
Use the law of cosines to find the unknown side of the triangle, given the other two sides and the included angle.
Solve the equation.
Substitute the known values into the equation.
Simplify the results.
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Raise to the power of .
Raise to the power of .
Multiply by .
Multiply by .
Evaluate .
Multiply by .
Add and .
Add and .
Evaluate the root.
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 .
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Multiply both sides of the equation by .
Simplify both sides of the equation.
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Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify the right side.
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Simplify .
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Evaluate .
Divide by .
Multiply by .
Take the inverse sine of both sides of the equation to extract from inside the sine.
Simplify the right side.
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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 .
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Add and .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
These are the results for all angles and sides for the given triangle.
Do you know how to Solve the Triangle tri{15}{}{}{}{9}{106}? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name seventy-nine million seventy-seven thousand seven hundred two

Interesting facts

  • 79077702 has 32 divisors, whose sum is 172854144
  • The reverse of 79077702 is 20777097
  • Previous prime number is 1321

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 39
  • Digital Root 3

Name

Name two billion five million three hundred twenty-five thousand nine hundred fifty-seven

Interesting facts

  • 2005325957 has 4 divisors, whose sum is 2010702540
  • The reverse of 2005325957 is 7595235002
  • Previous prime number is 373

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2

Name

Name eight hundred five million two hundred ninety-eight thousand eighty-one

Interesting facts

  • 805298081 has 8 divisors, whose sum is 945215040
  • The reverse of 805298081 is 180892508
  • Previous prime number is 37

Basic properties

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