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

Home > Shapes > Geometry
The Unknown Side (Posted on 2002-07-01) Difficulty: 3 of 5
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.

  • AD = 10,
  • 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.)
    Question 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
    Please log in:
    Remember me:
    Sign up! | Forgot password

    Search body:
    Forums (0)
    Newest Problems
    Random Problem
    FAQ | About This Site
    Site Statistics
    New Comments (1)
    Unsolved Problems
    Top Rated Problems
    This month's top
    Most Commented On

    Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information