47. When 2 chords of a circle intersect inside the circle, the product of the lengths of the 2 segments of one chord is equal to the product of the lengths of the 2 segments of the other chord. In the figure below, chords EF and GH intersect at I. The length of GH is 12 inches. The length of Fl is 5 inches. The length of El is 4 inches. The length of HI is less than the length of Gl. What is the length, in inches, of GI?

Answer and Explanation

Your Answer is

Correct Answer is E

Explanation

Set GI=x. The equation can be listed: 4×5=x (12-x ) Solve the equation to get E.