Question

Line AB is tangent to circle C at B and line AD is tangent to circle C at D. What is the lenghth AB.

Answer 1

Step-by-step explanation:

The Two Tangent Theorem states that if we draw two lines from the same point which lies outside a circle, such that both lines are tangent to the circle, then their lengths are the same.

To be able to find AB we have to 1st of all find the value of x by equating both lengths together since both AB and AD are equal as shown below;

`\begin{gathered} 2x^2+3x-1=2x^2-4x+13 \\ 2x^2-2x^2+3x+4x=13+1 \\ 7x=14 \\ x=(14)/(7)=2 \end{gathered}`

S