Length AC is 12 .
<u>Step-by-step explanation:</u>
We have , △ABC is inscribed in a circle such that vertices A and B lie on a diameter of the circle. If the length of the diameter of the circle is 13 and the length of chord BC is 5 . According to the data given in question we can visualize that triangle must be a right angled triangle where:
AB = hypotenuse = 13
BC = base = 5
Ac = Perpendicular
Now, By Pythagoras Theorem:
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∴ Length AC is 12 .