Answer:
radius = 5 units
Step-by-step explanation:
leg lengths of 6 and 8
AC = 6
BC = 8
Notice that since AB = diameter of circle and that C is inscribed in circle O
angle C = 90 degrees
triangle ABC is a right triangle
(AB )^2 = (AC)^2 + (BC)^2 by Pythagorean theorem
so
(AB)^2 = 6^2 + 8^2 = 36 + 64 = 100
AB = square root of 100 = 10
so AO = (1/2) *AB = (1/2)*10 = 5
