Question

Please help it’s due soon

Answer 1

D) 30

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 =
`2√(a^2-h^2)`

(where a is one of the congruent side lengths and h is the height)

`\implies CD=2√(OD^2-OE^2)`

`\implies CD=2√(17^2-8^2)`

`\implies CD=30`