Respuesta :

Answer:

95

Explanation:

Let the length of the opposite side be x.

We're told that the ratio of the opposite side to the hypotenuse is 19/20, so if the length of the hypotenuse is 100, let's go ahead and find x as follows;

[tex]\frac{\text{Opposite}}{\text{Hypotenuse}}\colon\frac{19}{20}=\frac{x}{100}[/tex]

Let's cross-multiply;

[tex]\begin{gathered} 20x=1900 \\ x=\frac{1900}{20} \\ \therefore x=95 \end{gathered}[/tex]