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 Jan 26, 2019
 #1
avatar+533 
+3

there is formula for this, it is 9*(9+16) is the tangent line length squared, so 225=9x^2 so x=5.

 

HOPE THIS HELPED!

 Jan 26, 2019
 #4
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+1

how did you get 9x^2?

Guest Jan 27, 2019
 #2
avatar+4569 
+2

Since this has a tangent and secant, Power Of Point gives us \(9x^2=225, x^2=25, \boxed{x=5}.\)

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 Jan 27, 2019
 #3
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+1

how did you get 9x^2?

Guest Jan 27, 2019
 #5
avatar+109519 
+1

Tetre got it from (3x)^2 = 9x^2   Thanks Tertre and asdf   laugh

 

There is an obscure circle geometry  law that says if A is a point external to the circle

then the square of the tangential distance from A to the circle 

is equal to the square of the distance from A to the furthest point on any chord that is collinear with A.

 

Maybe that can be worded better. :/

 

anyway it says     \((3x)^2=(9+16)^2\)

 

 

No one on this post has attempted to prove this.  They have simply used it to answer your question.

Melody  Jan 27, 2019
 #6
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+1

thanks

Guest Jan 27, 2019
edited by Guest  Jan 27, 2019

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