Question

Find the missing length of the triangle marked with "?"

Answer 1

2

Step-by-step 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:

`\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}`

Therefore, the missing length of the triangle is 2.