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April 13th, 2017, 08:42 AM   #1
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tangent lines and chords

Hello everyone,
I have a question that I couldn't solve guys. Will you please help me to find x value and explain why?

I really appreciate.
LEO

PS: I read all about tangent lines and chords but couldn't find which theorem is related with this.
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April 13th, 2017, 08:49 AM   #2
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What can you say about the 4 triangles shown?
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 April 13th, 2017, 09:46 AM #3 Member   Joined: Apr 2017 From: New York Posts: 92 Thanks: 6 congruent?
 April 13th, 2017, 09:47 AM #4 Member   Joined: Apr 2017 From: New York Posts: 92 Thanks: 6 so x will be 8 ?
April 13th, 2017, 09:53 AM   #5
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is my numbers on the lines correct then?
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April 13th, 2017, 10:42 AM   #6
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Quote:
 Originally Posted by Leonardox is my numbers on the lines correct then?
If the length of the upper chord is 8 and the lower chord is perpendicular to the shown radial segment of length 3, then yes.

April 13th, 2017, 11:25 AM   #7
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This is the question. no other explanation. and the answer supposed to be 16.

I understood the way you explained perfectly but the answers are not matching with my geometry book and no sample question nor explanation.

thanks a lot.
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 Screen Shot 2017-04-13 at 3.23.30 PM.jpg (15.1 KB, 6 views)

 April 13th, 2017, 11:50 AM #8 Math Team   Joined: Jul 2011 From: Texas Posts: 2,767 Thanks: 1422 misinterpretation that the entire chord length is 8 ... only half of the chord has length 8, ergo 16 is the entire chord length Last edited by skeeter; April 13th, 2017 at 12:07 PM.
 April 13th, 2017, 12:35 PM #9 Member   Joined: Apr 2017 From: New York Posts: 92 Thanks: 6 Ok. Got you. Thanks a lot.
April 13th, 2017, 12:54 PM   #10
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and here how am I going to continue to find x as 5?
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