Answer:
10 units
Step-by-step explanation:
The complete question is:
Line segment KL is tangent to circle J at point K.
What is the length of the radius, r?
see the attached figure
we know that
KL is perpendicular to KJ ----> because KL is tangent to circle J at point K
so
Triangle KLJ is a right triangle
Applying the Pythagorean Theorem
[tex]LJ^2=JK^2+KL^2[/tex]
substitute the given values
[tex](16+r)^2=r^2+24^2[/tex]
solve for r
[tex]256+32r+r^2=r^2+576\\32r=576-256\\32r=320\\r=10\ units[/tex]
