Use the Pythagorean theorem to solve for the side lengths of a right triangle.
The Pythagorean theorem uses the following formula:
[tex]a^{2} + b^{2} = c^{2}[/tex]
We know that the hypotenuse is 25, and one of the two legs of the triangle is 22. Plug these values into the equation:
[tex]22^{2} + b^{2} = 25^{2}[/tex]
[tex]484 + b^{2} = 625[/tex]
Subtract 484 from both sides:
[tex]b^{2} = 141[/tex]
Square root both sides to get b by itself:
[tex]\sqrt{141} = 11.874[/tex]
[tex]b = 11.874[/tex]
The missing value in this figure is 11.874.
