Furthermore, if PQ cuts the circle at S between P and Q, then the radius must inceed OP = 4. Therefore QS must inceed 8, and the data which are not irrelevant are contradictory. Still, never mind --- it must have been a good party! WFL On 1/26/13, Eric Angelini <Eric.Angelini@kntv.be> wrote:
Hello David, do we need L and R ?! Best, É.
Envoyé d'un aPhone
Le 26 janv. 2013 à 16:30, "davidwwilson@comcast.net" <davidwwilson@comcast.net> a écrit :
This was a problem posed to me by a friend:
Let circle C have center O.
Let point P satisfy OP = 4.
Draw tangent line L to C at point Q. Place point R on L with QR = 12.
Let segment PQ cut C at point S between P and Q, so that PS = 4 and QS = 8.
What is the radius of C?
I give up on this one.
An algebraic solution would be nice, a geometric one better. _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
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