42.7k views
22 votes
Please help it’s due soon

Please help it’s due soon-example-1
User Lascarayf
by
8.0k points

1 Answer

5 votes

Answer:

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

User Mitesh Dobareeya
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories