Question

Tangent JH and secant JL intersect at point J. Find the length of JL.
A. 4.8
B. 11.8
C. 1.8
D. 9.8

Answer 1

The correct answer is Choice D, 9.8.

The relationship in the above diagram is: 
JH^2 = GJ(LJ)

All we have to do is plug in what we have and solve for the unknown.

49 = 5(5 + x)
49 = 25 + 5x 
24 = 5x
4.8 = x

Now, add the length of GJ and you have the total for LJ.
4.8 + 5 = 9.8