Given the circles' A and B
As shown: the circles are congruent
CD is a chord of both circles, CD = 16 ft
The radius of the circle = 17 ft
Hint: connect AC
The intersection between AB and CD is the point E
So, for the triangle ACE:
CD will be perpendicular to AB
So, the measure of the angle AEC = 90
AC = 17 ft, CE = 0.5 * 16 = 8
so, the length of AE will be calculated using the Pythagorean theorem:
[tex]AE=\sqrt[]{17^2-8^2}=\sqrt[]{289-64}=\sqrt[]{225}=15[/tex]
So, the length of AB will be two times the length of AE
So, AB = 2 * 15 = 30
so, the answer will be AB = 30 ft
