<math><mstyle displaystyle="true"><mtable class="shapeTable" columnlines="solid" rowlines="solid"><mtr><mtd><mi>Side</mi></mtd><mtd><mi>Angle</mi></mtd></mtr><mtr><mtd><mtable><mtr><mtd><mrow><mi>b</mi><mo>=</mo></mrow></mtd><mtd><mn>6</mn></mtd></mtr><mtr><mtd><mrow><mi>c</mi><mo>=</mo></mrow></mtd><mtd><mn>10</mn></mtd></mtr><mtr><mtd><mrow><mi>a</mi><mo>=</mo></mrow></mtd><mtd></mtd></mtr></mtable></mtd><mtd><mtable><mtr><mtd><mrow><mi>A</mi><mo>=</mo></mrow></mtd><mtd></mtd></mtr><mtr><mtd><mrow><mi>B</mi><mo>=</mo></mrow></mtd><mtd></mtd></mtr><mtr><mtd><mrow><mi>C</mi><mo>=</mo></mrow></mtd><mtd></mtd></mtr></mtable></mtd></mtr></mtable></mstyle></math>

Assume that angle <math><mstyle displaystyle="true"><mi>C</mi><mo>=</mo><mn>90</mn></mstyle></math> .

Use the Pythagorean theorem to find the unknown side. In any right triangle, the area of the square whose side is the hypotenuse (the side of a right triangle opposite the right angle) is equal to the sum of areas of the squares whose sides are the two legs (the two sides other than the hypotenuse).

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

Substitute the actual values into the equation.

Raise <math><mstyle displaystyle="true"><mn>10</mn></mstyle></math> to the power of <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Raise <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> to the power of <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>36</mn></mstyle></math> .

Subtract <math><mstyle displaystyle="true"><mn>36</mn></mstyle></math> from <math><mstyle displaystyle="true"><mn>100</mn></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>64</mn></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>8</mn></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Pull terms out from under the radical, assuming positive real numbers.

The angle <math><mstyle displaystyle="true"><mi>B</mi></mstyle></math> can be found using the inverse sine function.

Substitute in the values of the opposite side to angle <math><mstyle displaystyle="true"><mi>B</mi></mstyle></math> and hypotenuse <math><mstyle displaystyle="true"><mn>10</mn></mstyle></math> of the triangle.

Cancel the common factor of <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>10</mn></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> .

Cancel the common factors.

Factor <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>10</mn></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

Evaluate <math><mstyle displaystyle="true"><mi>arcsin</mi><mrow><mo>(</mo><mfrac><mrow><mn>3</mn></mrow><mrow><mn>5</mn></mrow></mfrac><mo>)</mo></mrow></mstyle></math> .

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

Solve the equation for <math><mstyle displaystyle="true"><mi>A</mi></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>90</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>36.86989764</mn></mstyle></math> .

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

Subtract <math><mstyle displaystyle="true"><mn>126.86989764</mn></mstyle></math> from both sides of the equation.

Subtract <math><mstyle displaystyle="true"><mn>126.86989764</mn></mstyle></math> from <math><mstyle displaystyle="true"><mn>180</mn></mstyle></math> .

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

Do you know how to Find the Length of a tri{6}{}{10}{}{}{}? 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 | three hundred three million four hundred twenty-nine thousand two hundred twenty-eight |
---|

- 303429228 has 32 divisors, whose sum is
**910688400** - The reverse of 303429228 is
**822924303** - Previous prime number is
**3181**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 33
- Digital Root 6

Name | eight hundred eighty-three million seventy-nine thousand six hundred sixty-one |
---|

- 883079661 has 4 divisors, whose sum is
**1177439552** - The reverse of 883079661 is
**166970388** - Previous prime number is
**3**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 48
- Digital Root 3

Name | one billion two hundred twenty-seven million eight hundred sixty-nine thousand four hundred thirty-two |
---|

- 1227869432 has 32 divisors, whose sum is
**4146886368** - The reverse of 1227869432 is
**2349687221** - Previous prime number is
**1487**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 44
- Digital Root 8