The length of the GH segment is 13
Step-by-step explanation:
For solving this problem we need to remember some of the circle corollaries-
When two-chord intersects each other, the product of the chord segments are equal
The above corollary can be easily understood by looking at a diagram attached below-
In the figure, EF and GH are two chords intersecting at K
Thus, EK*KF= GK*KH
Values of the EK, KF, GK are given as 5, 6 and 3 respectively
Substituting the values we get
5*6=3*KH
KH= 10
We know that GH= GK+KH
Thus GH= 3+10= 13
