1
$\begingroup$

http://imgur.com/QFu05

I recreated the question in paint above ^ The line is not tangent to the circle.

1 Answers 1

1

They're geometrically powers, so it must be that 5·29=x·7, assuming 5 and x are the lengths from the intersection point to the point in which the lines first cut the circle (the short ones)

He's right, I made a mistake: from the formula, it must be what he says: x(x+7)=5(5+29). The answer is 10, again, it doesn't make sense with your drawing, but your drawing is not accurate with the lengths of the segments.

  • 0
    That would mean the answer is 20.71? That doesn't make a lot of sense in the whole grand scheme of things Given the the line it's attached to is similar in length.2012-12-16
  • 1
    He's got the formula wrong. Try $x(x+7)=5(5+29)$.2012-12-16
  • 0
    Well, the problem is that the drawing doesn't make much sense either, because the 29 shouls look aprox. like 6 times the 5 segment, and it doesn't. Try making the drawing with some geometry software to see if it's actually that 20.71, you can try GeoGebra, it's online and free.2012-12-16
  • 0
    Mario is right though. This is a direct result of the power of a point: http://en.wikipedia.org/wiki/Power_of_a_point2012-12-16