Answer:
GF = 20 units .
Explanation:
Given : A circle ,Point F is on circle C.
To find : What is the length of line segment GF.
Solution : We have given A circle ,Point F is on circle C.
In circle we can see in triangle GCE
EC = CF = 7.5
GE = 10.
By the Pythagorean theorem :
GC² = EG²+ EC².
Plugging the values
GC² = 10²+ 7.5².
GC² = 100 + 56 .25.
GC² = 156.25.
Taking square root.
GC = 12.5 units.
Radius of circle CF = 7.5 units .
GF = GC +CF.
GF = 12.5 + 7.5
GF = 20 units .
Therefore, GF = 20 units .