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 The Unknown Side (Posted on 2002-07-01)
ABC is a triangle:
• Angle A < 90.
• D is a point on BC such that BD = DC.
• M is a point on BC such that AM is perpendicular to BC.

If
• BC = 12 and
• MC = 11
find the length of AC.
•  Submitted by Dulanjana Rating: 2.9091 (11 votes) Solution: (Hide) ``` DB = CB / 2 = 12 / 2 = 6 MB = CB - CM = 12 - 11 = 1 DM = DB - MB = 6 - 1 = 5 DM^2 + AM ^2 = AD^2 (pythagorean), so 25 + AM^2 = 100 AM = sqrt(75) CA^2 = AM^2 + CM^2 (pythagorean), so CA = sqrt(75 + 121) = sqrt(196) = 14```

 Subject Author Date re: Puzzle Resolution Ady TZIDON 2012-07-17 10:04:32 Puzzle Resolution K Sengupta 2007-06-15 12:21:11 answer K Sengupta 2007-06-15 12:17:16 re: Trouble with the solution Jim 2005-10-14 20:38:26 Trouble with the solution B 2004-12-03 17:10:04 Solution Antonio 2003-09-04 07:28:26 Pythagoras would like this mark hartman 2003-05-30 12:32:56 solution rob allen 2003-02-04 09:09:59 Pythagoras Michael 2003-02-02 23:33:45 re(2): Why Angle A? TomM 2002-07-01 10:03:34 re: Why Angle A? levik 2002-07-01 09:37:18 2 + 2 = 5 Doh! TomM 2002-07-01 08:49:31 Why Angle A? TomM 2002-07-01 08:41:18 Solution friedlinguini 2002-07-01 06:21:07 try.. Cheradenine 2002-07-01 05:10:22

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