The sum of all the angles in a triangle is <math><mstyle displaystyle="true"><mn>180</mn></mstyle></math> degrees.

Add <math><mstyle displaystyle="true"><mn>89</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>30</mn></mstyle></math> .

Move all terms not containing <math><mstyle displaystyle="true"><mi>B</mi></mstyle></math> to the right side of the equation.

Subtract <math><mstyle displaystyle="true"><mn>119</mn></mstyle></math> from both sides of the equation.

Subtract <math><mstyle displaystyle="true"><mn>119</mn></mstyle></math> from <math><mstyle displaystyle="true"><mn>180</mn></mstyle></math> .

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 <math><mstyle displaystyle="true"><mi>a</mi></mstyle></math> .

Factor each term.

Evaluate <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mn>89</mn><mo>)</mo></mrow></mstyle></math> .

Evaluate <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mn>61</mn><mo>)</mo></mrow></mstyle></math> .

Divide <math><mstyle displaystyle="true"><mn>0.8746197</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>7</mn></mstyle></math> .

Solve for <math><mstyle displaystyle="true"><mi>a</mi></mstyle></math> .

Multiply each term by <math><mstyle displaystyle="true"><mi>a</mi></mstyle></math> and simplify.

Multiply each term in <math><mstyle displaystyle="true"><mfrac><mrow><mn>0.99984769</mn></mrow><mrow><mi>a</mi></mrow></mfrac><mo>=</mo><mn>0.12494567</mn></mstyle></math> by <math><mstyle displaystyle="true"><mi>a</mi></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mi>a</mi></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

Rewrite the equation as <math><mstyle displaystyle="true"><mn>0.12494567</mn><mi>a</mi><mo>=</mo><mn>0.99984769</mn></mstyle></math> .

Divide each term by <math><mstyle displaystyle="true"><mn>0.12494567</mn></mstyle></math> and simplify.

Divide each term in <math><mstyle displaystyle="true"><mn>0.12494567</mn><mi>a</mi><mo>=</mo><mn>0.99984769</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>0.12494567</mn></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mn>0.12494567</mn></mstyle></math> .

Divide <math><mstyle displaystyle="true"><mn>0.99984769</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>0.12494567</mn></mstyle></math> .

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 <math><mstyle displaystyle="true"><mi>c</mi></mstyle></math> .

Factor each term.

The exact value of <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mn>30</mn><mo>)</mo></mrow></mstyle></math> is <math><mstyle displaystyle="true"><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> .

Multiply the numerator by the reciprocal of the denominator.

Multiply <math><mstyle displaystyle="true"><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> and <math><mstyle displaystyle="true"><mfrac><mrow><mn>1</mn></mrow><mrow><mi>c</mi></mrow></mfrac></mstyle></math> .

Evaluate <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mn>89</mn><mo>)</mo></mrow></mstyle></math> .

Divide <math><mstyle displaystyle="true"><mn>0.99984769</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>8.0022595</mn></mstyle></math> .

Solve for <math><mstyle displaystyle="true"><mi>c</mi></mstyle></math> .

Multiply each term by <math><mstyle displaystyle="true"><mi>c</mi></mstyle></math> and simplify.

Multiply each term in <math><mstyle displaystyle="true"><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn><mi>c</mi></mrow></mfrac><mo>=</mo><mn>0.12494567</mn></mstyle></math> by <math><mstyle displaystyle="true"><mi>c</mi></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mi>c</mi></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mi>c</mi></mstyle></math> out of <math><mstyle displaystyle="true"><mn>2</mn><mi>c</mi></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

Rewrite the equation as <math><mstyle displaystyle="true"><mn>0.12494567</mn><mi>c</mi><mo>=</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> .

Divide each term by <math><mstyle displaystyle="true"><mn>0.12494567</mn></mstyle></math> and simplify.

Divide each term in <math><mstyle displaystyle="true"><mn>0.12494567</mn><mi>c</mi><mo>=</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> by <math><mstyle displaystyle="true"><mn>0.12494567</mn></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mn>0.12494567</mn></mstyle></math> .

Simplify <math><mstyle displaystyle="true"><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mo>⋅</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>0.12494567</mn></mrow></mfrac></mstyle></math> .

Divide <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>0.12494567</mn></mstyle></math> .

Combine <math><mstyle displaystyle="true"><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> and <math><mstyle displaystyle="true"><mn>8.00347847</mn></mstyle></math> .

Divide <math><mstyle displaystyle="true"><mn>8.00347847</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

These are the results for all angles and sides for the given triangle.

Do you know how to Solve the Triangle C=30 , A=89 , b=7? 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 | one billion four hundred sixty-two million six hundred twenty-five thousand seven hundred forty |
---|

- 1462625740 has 32 divisors, whose sum is
**3951115200** - The reverse of 1462625740 is
**0475262641** - Previous prime number is
**2063**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 37
- Digital Root 1

Name | one billion two hundred twenty-five million seven hundred fifty-six thousand four hundred twenty-seven |
---|

- 1225756427 has 16 divisors, whose sum is
**1452729600** - The reverse of 1225756427 is
**7246575221** - Previous prime number is
**419**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 41
- Digital Root 5

Name | nine hundred eleven million seven hundred ninety-nine thousand eighty-five |
---|

- 911799085 has 4 divisors, whose sum is
**1094158908** - The reverse of 911799085 is
**580997119** - Previous prime number is
**5**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 49
- Digital Root 4