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Answer:
C. 3.6
Explanation:
AC = FA + FC = 4+6 = 10
AC is the hypotenuse of right triangle ABC, which has leg BC = 8. Then the length of AB is given by the Pythagorean theorem as ...
AB² +BC² = AC²
AB = √(10² -8²) = 6
The side lengths of these similar triangles are proportional, so you have ...
FG/FC = AB/AC
FG = FC(AB/AC) = 6(6/10)
FG = 3.6