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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.
•  See The Solution Submitted by Dulanjana Rating: 2.9091 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Why Angle A? | Comment 3 of 15 |
The problem gives us that angle A is acute. While we can use the law of cosines to solve for A and verify that statement, the important thing to know is whether angle C is acute. If angle C is obtuse, then MD is no longer 5, but is 16.

Unless that is the point: if the problem as Charadenine has broken it down and Friedlinguini has solved it requires angle A to be 90° or more, then we have the wrong triangle and must work with angle C being obtuse.
 Posted by TomM on 2002-07-01 08:41:18

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