For right triangles, we can use the Pythagorean theorem in order to determine the length of the hypotenuse with the following formula:
[tex]h=\sqrt[]{a^2+b^2}[/tex]
a and b are the lengths of the legs of the triangle.
In this case, the lengths of the legs are 23 and 12. By replacing 12 for a and 23 for b, we get:
[tex]h=\sqrt[]{12^2+23^2=}\sqrt[]{144+529}\approx25.9[/tex]
Then, the length of the missing side is 25.9 in
