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avatar+1768 

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 $\overline{PA}$ is $4,$ and the circle has a radius of $4.$  Find the length $AB.$

 Jan 8, 2024
 #1
avatar+129872 
+1

See the following :

 

 

Note that AB   is  just the length of  a diagonal of a square with a side of  4 =  4sqrt (2)

 

cool cool cool 

 Jan 8, 2024

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