Answer:
The value of the missing side is
![x=2\ units](https://img.qammunity.org/2020/formulas/mathematics/high-school/ldwzzr911tvoxua3awgejovwboosrij6v4.png)
Explanation:
In this problem i assume that the length side x is tangent to the circle
so
the length side x is perpendicular to the radius
Applying the Pythagoras Theorem in the right triangle
we have that
![(1.5+1)^(2)=1.5^(2)+x^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kahlqdwcd1oh9wrak2spl08o46ebxc1w4z.png)
Solve for x
![(2.5)^(2)=1.5^(2)+x^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9bxidn0ua305ix3bftz6m4kd30mq5ye7r8.png)
![x^(2)=2.5^(2)-1.5^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/62cw8260qx0b8lck0uul9wfprqirykjhlz.png)
![x^(2)=4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1nmzy1gfjmqrrj8g5xizlqgaih9o1l2y00.png)
![x=2\ units](https://img.qammunity.org/2020/formulas/mathematics/high-school/ldwzzr911tvoxua3awgejovwboosrij6v4.png)