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Answer:
Radius, r, is 3.75
Step-by-step explanation:
From the given diagram,
AB = 9
AC = 6 + r
BC = r
Thus applying the Pythagoras theorem, we have;
=
+
=
+
36 + 12r + = 81 +
collecting like terms,
12r = 81 - 36
12r = 45
r =
= 3.75
r = 3.75
The radius is 3.75.