Answer:
95
Step-by-step 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;
![\frac{\text{Opposite}}{\text{Hypotenuse}}\colon(19)/(20)=(x)/(100)](https://img.qammunity.org/2023/formulas/mathematics/college/7z1wtk2gln5nl7ns7v4fxlu1se7v6xog9q.png)
Let's cross-multiply;
![\begin{gathered} 20x=1900 \\ x=(1900)/(20) \\ \therefore x=95 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/pwqpab1wx4nd3o3i575dhiq1k27cfkqjtp.png)