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Two tangents $\overline{PA}$ and $\overline{PB}$ are drawn to a circle, where $P$ lies outside the circle, and $A$ and $B$ lie on the circle.  The length of $\overline{AB}$ is $4,$ and the circle has a radius of $5.$  Find the length $AB.$

 Jul 9, 2024
 #1
avatar+1952 
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Let's note something really important first. 

In the problem, it said that ¯AB=4

 

Then, it asks us to find the length of AB. 

So, our final answer is ¯AB=4

 

So 4 is our answer. 

 

Thanks! :)

 Jul 9, 2024

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