Answer:
AC = 12
Step-by-step explanation:
If segment AB is tangent to circle C, then
angle ABC is 90 degrees, so that the Pythagorean theorem applies.
AC^2
= AB^2 + BC^2
= 9.6^2 + 7.2^2 factor out 2.4
= 2.4^2(4^2+3^2) use 3^2+4^2 = 5^2
= 2.4^2*5^2
AC = sqrt(AC^2) = sqrt(2.4^2*5^2) = 2.4*5 = 12
