The length of the external portion of the secant segment PN is x.
The length of the entire secant segment LN is 36 units.
The given figure shows a circle and two secants drawn to it from a common point N.
The secant PN intersect the circle at P and Q. The secant LN intersect the circle at L and M.
The dimensions given in the figure are as follows,
The length of PQ is 32 units.
The length of QN is x units.
The length of LM is 22 units.
The length of MN is 14 units.
Therefore, the length of the secant LN is 22+14=36 units.
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