Results 1 to 2 of 2

Math Help - Triangle word problem

  1. #1
    Banned
    Joined
    Jan 2010
    Posts
    32

    Triangle word problem

    A building was to be built on a triangular piece of property. The architect was given the measurements of the angles of the triangle as 54, 39, and 87 degrees and the lengths of two of the sides as 100m and 80m. When the architect began to draw up the design on paper, she drew a triangle to scale with the corresponding measures and found that the lot was considerably smaller than she had been led to believe. It appeared that the proposed building would not fit on the property. She called the surveyor and he confirmed each of the measurements and could not see any problem with the size. Neither could understand the reason for the other's opinion. What is the reason for the miscommunication and what should be done to clear up the situation?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,707
    Thanks
    627
    Hello, igottaquestion!

    A building was to be built on a triangular piece of property.
    The architect was given the angles of the triangle as 54, 39, and 87
    and the lengths of two of the sides as 100m and 80m.

    When the architect drew a triangle to scale with the corresponding measures,
    she found that the lot was considerably smaller than she had been led to believe.
    It appeared that the proposed building would not fit on the property.

    She called the surveyor and he confirmed each of the measurements
    and could not see any problem with the size.
    Neither could understand the reason for the other's opinion.

    What is the reason for the miscommunication
    and what should be done to clear up the situation?

    He should fax her a diagram of the property.


    From the given information, there are three possible triangles.



    Code:
                            *
                         * 87*
                      *         *
                 80 *              *
                *                   *
             * 39                54 * 
          *  *  *  *  *  *  *  *  *  *  *
                        100
    \text{Area} \;\approx\;2517.28\text{ m}^2



    Code:
                            *
                         * 87*
                      *         *
                   *              * 80
                *                   *
             * 39                54 * 
          *  *  *  *  *  *  *  *  *  *  *
                        100
    \text{Area} \;\approx\;3236.07\text{ m}^2



    Code:
                            *
                         * 87*
                      *         *
                 80 *              * 100
                *                   *
             * 39                54 * 
          *  *  *  *  *  *  *  *  *  *  *
    \text{Area} \;\approx\;3994.52\text{ m}^2

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Trig triangle word problem
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: November 17th 2010, 10:46 PM
  2. A Right Triangle Word Problem
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: July 16th 2009, 11:10 PM
  3. Word Problem Using Triangle and System of Equations
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: April 9th 2009, 12:42 PM
  4. Right Triangle Trig word problem
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: April 6th 2009, 07:52 PM
  5. triangle word problem
    Posted in the Geometry Forum
    Replies: 1
    Last Post: May 12th 2008, 06:44 PM

Search Tags


/mathhelpforum @mathhelpforum