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  1. #1
    Silver Lounger
    Join Date
    Mar 2001
    Dallas, Texas, USA
    Thanked 1 Time in 1 Post

    Geometry, Anyone

    As with most of my puzzles involving "artwork", don't get carried away with the accuracy of the drawing. They're seldom to scale. The diagram below represents a circle inscribed in an isoceles trapezoid whose parallel sides have lengths of 8 and 18. What is the diameter of the circle?
    - Ricky

  2. #2
    Plutonium Lounger
    Join Date
    Mar 2002
    Thanked 31 Times in 31 Posts

    Re: Geometry, Anyone

    <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>The non parallel sides of the trapezoid are each 8/2 + 18/2 = 13 in length, for the distance from a vertex to each of the nearby tangent points is equal. If you draw a perpendicular line from a top vertex to the base, it intersects the base at distance (18-8)/2 = 5 from the nearest vertex. Pythagoras' theorem yields the height of the trapezoid and hence the diameter of the circle: 12/</font color=yellow></span hi>

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