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?

Answer 1

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)

Answer 2

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

Answer 3

Thank you so much! I get it now!