<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>5</mn></mtd></mtr><mtr><mtd><mrow><mi>c</mi><mo>=</mo></mrow></mtd><mtd><mn>13</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>13</mn></mstyle></math> to the power of <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Raise <math><mstyle displaystyle="true"><mn>5</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>25</mn></mstyle></math> .

Subtract <math><mstyle displaystyle="true"><mn>25</mn></mstyle></math> from <math><mstyle displaystyle="true"><mn>169</mn></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>144</mn></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>12</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>13</mn></mstyle></math> of the triangle.

Evaluate <math><mstyle displaystyle="true"><mi>arcsin</mi><mrow><mo>(</mo><mfrac><mrow><mn>5</mn></mrow><mrow><mn>13</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>22.61986494</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>112.61986494</mn></mstyle></math> from both sides of the equation.

Subtract <math><mstyle displaystyle="true"><mn>112.61986494</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{5}{}{13}{}{}{}? 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 | six hundred four million nine hundred eighty-six thousand eight hundred forty-five |
---|

- 604986845 has 8 divisors, whose sum is
**734141880** - The reverse of 604986845 is
**548689406** - Previous prime number is
**89**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 50
- Digital Root 5

Name | one billion four hundred four million six hundred eighty-seven thousand four hundred forty |
---|

- 1404687440 has 256 divisors, whose sum is
**8673117120** - The reverse of 1404687440 is
**0447864041** - Previous prime number is
**107**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 38
- Digital Root 2

Name | one billion six hundred fifty-three million seven hundred fifty-two thousand thirty-two |
---|

- 1653752032 has 128 divisors, whose sum is
**12594454776** - The reverse of 1653752032 is
**2302573561** - Previous prime number is
**347**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 34
- Digital Root 7