Answer: The value of x is 6.92 inches.
Step-by-step explanation:
Since we have given that
There is one secant say, PAB.
PA = 4 inches
PB = 8 +4 = 12 inches
And one tangent say PT.
PT= x
And we know that when one secant get intersected by the tangent at a point 'P'.
Then the Product of segments of secants is square of the tangent.
i.e.
[tex]PT^2=PA.PB\\\\x^2=4\times 12\\\\x^2=48\\\\x=\sqrt{48}\\\\x=4\sqrt{3}\ inches[/tex]
Hence, the value of x =4√3=6.92 inches.
