IN the diagram below, assume the line that appears to be tangent is tangent. C is the center of the circle find the value of X. Could you please explain the steps?

Question

IN the diagram below, assume the line that appears to be tangent is tangent.  C is the center of the circle find the value of X. Could you please explain the steps?

anonymous · Answer

attachment

anonymous · Answer

tangents to a circle are at rt angles with radius at the point of contact
hence the sides of the rt angled triangle in the picture  is
9,12,(9+x)

anonymous · Answer

using pythogaras theorem we have 
(x+9)^2=9^2+12^2
(x+9)^2=15^2
hence x+9=15
or x=15-9
or x=6

anonymous · Answer

Thank you so much! I get it now!