All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Cos Case Concern (Posted on 2015-12-06)
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 No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 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

 Search: Search body:
Forums (0)
Random Problem
Site Statistics
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox: