Question 27

On a semicircle with diameter AD, chord BC is parallel to the diameter. Further; AD and BC are separated by 2cm, while AD has length 8. What is the length of BC?

Name: On a semicircle with diameter AD, chord BC is parallel to the diameter. Further; AD and BC are separated by 2cm, while AD has length 8. What is the length of BC?
Uploaded: Oct. 22, 2024, 3:41 p.m.
Duration: 2 min 7 s
Description: On a semicircle with diameter AD, chord BC is parallel to the diameter. Further; AD and BC are separated by 2cm, while AD has length 8. What is the length of BC?

Solution

In the triangle BEO, BE = $$\sqrt{4^2-2^2}$$ = $$2\sqrt3$$

==> BC = $$4\sqrt3$$

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On a semicircle with diameter AD, chord BC is parallel to the diameter. Further; AD and BC are separated by 2cm, while AD has length 8. What is the length of BC?

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