SOLUTION: Hello, How can I solve the following question, am I even given enough information? Thanks. <a href="http://s571.photobucket.com/user/mdreiff/media/2013-12-21-b.jpg.html"

Question 823978: Hello,
How can I solve the following question, am I even given enough information?
Thanks.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Because ABC is a circumscribed triangle, this means that AB, BC, and AC are tangents to the circle. Therefore, with a bit of proof (which we don't need to do really unless you want to), we can show the following is true

AP = AR
BP = BQ
CQ = CR

-------------------------------------------------------

We are given AR = 10, CQ = 8, BQ = 4, so...

AP = AR
BP = BQ
CQ = CR

turns into

AP = 10
BP = 4
8 = CR

which rearranges to

AP = 10
BP = 4
CR = 8

-------------------------------------------------------

Then we use the segment addition postulate

AB = AP + PB

AB = AP + BP

AB = 10 + 4

AB = 14 units
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