Question:
On a semicircle with diameter AD, chord BC is parallel to the diameter. Further, each of the chords AB and CD has length 2, while AD has length 8. What is the length of BC?
On a semicircle with diameter AD, chord BC is parallel to the diameter. Further, each of the chords AB and CD has length 2, while AD has length 8. What is the length of BC?
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When dealing with circles and semicircles, use the Pythagorean theorem and properties of similar triangles to solve for unknown lengths.
Updated On: Aug 1, 2025
- 7.5
- 7
- 7.75
- None of the above
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The Correct Option is B
Solution and Explanation
By applying the properties of a semicircle and using Pythagoras' theorem in the appropriate triangles formed by the chords and the radius, the length of chord BC is calculated to be 7 units.
\[
\boxed{7}
\]
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