ANSWER
2
EXPLANATION
We have that the line segment is a tangent.
This means that the triangle represented is a right angle triangle.
Let us make a sketch:
We have that AB and AD are radii of the circle, therefore:
AB = 1.5
Now, we can apply Pythagoras Rule to solve the question:
[tex]\begin{gathered} AC^2=AB^2+BC^2 \\ \Rightarrow2.5^2=1.5^2+BC^2 \\ \Rightarrow BC^2\text{ = 6.25 - 2.25} \\ BC^2\text{ = 4} \\ BC\text{ = }\sqrt[]{4} \\ BC\text{ = 2} \end{gathered}[/tex]
Therefore, the missing length of the triangle is 2.
