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Cos Case Concern (Posted on 2015-12-06) Difficulty: 3 of 5
O is the center of a circle. AB, CD and EF are three parallel chords of this circle having respective lengths 2, 3 and 4.
It is known that ∠AOB = m, ∠COD = n and, ∠EOF = m+n, where m+n < 180o

Determine cos m

No Solution Yet Submitted by K Sengupta    
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re: Two solutions | Comment 2 of 4 |
(In reply to Two solutions by Jer)

If you rotate the chords, how do you form a triangle when the ends don't meet? The central angles being m, n and m+n, the total of the central angles (and the arcs of the chords) is m + n + (m+n), or 2*(m+n). As m+n<180°, 2*(m+n)<360° and the arc ends, along with the chord ends, don't span the entire circumference.
  Posted by Charlie on 2015-12-06 15:08:11

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