Answer:
D) 30
Step-by-step explanation:
AB is the diameter of the circle
AB = AE + EB
= 25 + 9
= 34
OB, OC and OD are all the radius of the circle.
Radius = half the diameter
Therefore, OB = OC = OD = 34 ÷ 2 = 17
ΔCOD is an isosceles triangle with congruent sides OC and OD, and height OE
OE = OB - 9
= 17 - 9
= 8
Base of isosceles triangle = [tex]2\sqrt{a^2-h^2}[/tex]
(where a is one of the congruent side lengths and h is the height)
[tex]\implies CD=2\sqrt{OD^2-OE^2}[/tex]
[tex]\implies CD=2\sqrt{17^2-8^2}[/tex]
[tex]\implies CD=30[/tex]
