Answer: value of RT is 4√3.
Step-by-step explanation: To solve for the value of RT, we can use the fact that the tangent to a circle is perpendicular to the radius drawn to the point of tangency.
In this case, we can draw a radius from the center of the circle (point O) to point T and label it OT. Since RT is tangent to the circle at point T, it is perpendicular to the radius OT.
We can then use the Pythagorean theorem to relate the lengths of the line segments in the right triangle OTR:
OT^2 = OR^2 + RT^2
Substituting the given values, we have:
13^2 = 11^2 + RT^2
169 = 121 + RT^2
RT^2 = 48
Taking the square root of both sides, we get:
RT = √48 = 4√3
Therefore, the value of RT is 4√3.