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Math Help - If a quadrilateral is circumscribable, then the sum of the lengths of two opposite si

  1. #1
    Member aldrincabrera's Avatar
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    Smile If a quadrilateral is circumscribable, then the sum of the lengths of two opposite si

    Good day,.,.can anyone please help me with the proof of this???thnx

    If a quadrilateral is circumscribable, then the sum of the lengths of two opposite sides equals the sum of the lengths of the sides of the two remaining sides.
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    Re: If a quadrilateral is circumscribable, then the sum of the lengths of two opposit

    Quote Originally Posted by aldrincabrera View Post
    If a quadrilateral is circumscribable, then the sum of the lengths of two opposite sides equals the sum of the lengths of the sides of the two remaining sides.[/I]
    Do you know the external tangent theorem: tangents from an exterior point to a circle?
    Last edited by Plato; June 20th 2011 at 03:19 AM.
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    Member aldrincabrera's Avatar
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    Re: If a quadrilateral is circumscribable, then the sum of the lengths of two opposit

    ,.,.that's the thing that is making me confuse sir,.,coz i can't somehow imagine the diagram,.isn't the sum of two opposite sides longer than the sum of the other two???im confused,.,.can u help me sir??thnx
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    Re: If a quadrilateral is circumscribable, then the sum of the lengths of two opposit

    Quote Originally Posted by aldrincabrera View Post
    ,.,.that's the thing that is making me confuse sir,.,coz i can't somehow imagine the diagram,.isn't the sum of two opposite sides longer than the sum of the other two???im confused,.,.can u help me sir??thnx
    Go to this page.
    Look at the first diagram. You want to prove that a+c=b+d.
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    Member aldrincabrera's Avatar
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    Re: If a quadrilateral is circumscribable, then the sum of the lengths of two opposit

    ,.,thnx sir,,.does this mean (always) that side a is congruent to side d??and b with c???
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    Re: If a quadrilateral is circumscribable, then the sum of the lengths of two opposit

    Quote Originally Posted by aldrincabrera View Post
    ,.,thnx sir,,.does this mean (always) that side a is congruent to side d??and b with c???
    In that diagram side a is the sum of two different line segments each tangent from external points. One those is also contained in b and the other is in d.
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    Member aldrincabrera's Avatar
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    Re: If a quadrilateral is circumscribable, then the sum of the lengths of two opposit

    ,.,.thanks so much sir,.,now i have a clear perception for the proof im going to make,.,.thnx
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