The value of the segment CD will be equal to 19.5.
What is secant and tangent?
The relationship between the line segments produced by a secant and a tangent line and the corresponding circle is described by the tangent-secant theorem.
The square of the tangent = (length of the secant)(the length of the outside part of the secant)
It is given that In the figure below, a tangent and a secant are drawn to a circle from exterior point E. Suppose that EG = 13 and ED=26.
The value of the segment CD will be calculated as below:-
EG² = (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 = EC
Calculate CD.
ED = EC + CD
26 = 6.5 + CD
19.5 = CD
Therefore, the value of the segment CD will be equal to 19.5.
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