Answer: The value of KP = 12 units.
Step-by-step explanation:
Since we have given that
KE is a tangent with KE = 18
KPL is a secant with PL = 15
Let KP = x
Since we know that The product of segments of secants is square of the tangents.
Mathematically, it is expressed as ,
[tex]KE^2=KP.KL\\\\18^2=x(x+15)\\\\324=x^2+15x\\\\x^2+15x-324=0\\\\x^2+27x-12x-324=0\\\\x(x+27)-12(x+27)=0\\\\(x+27)(x-12)=0\\\\x=-27,x=12[/tex]
Measure of secant can't be negative.
So, KP = 12
