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Math Help - trignometry

  1. #1
    Newbie
    Joined
    Sep 2008
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    trignometry

    Hi! can you solve this sum for me---
    PQRS is a quadrilateral.The sides RS and QR are the same length.The sides QP and RS are parallel.Calculate:
    1)angle SQR
    2)angle PSQ
    3)length PQ
    4)length PS
    5)Area of PQRS
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  2. #2
    Super Member

    Joined
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    Lexington, MA (USA)
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    Hello, dolly kohli!

    Obviously, some information is missing . . .


    can you solve this sum for me --- sum?

    PQRS is a quadrilateral.
    Sides RS and QR are the same length.
    Sides QP and RS are parallel.

    Calculate:

    1)\;\angle SQR\qquad 2)\;\angle PSQ\qquad 3)\;\text{ length }PQ \qquad 4)\;\text{ length }PS \qquad 5)\;\text{ Area of }PQRS

    With no more information, it is impossible to answer the questions . . .

    Code:
    P                             Q
    o  *  *  *  *  *  *  *  *  *  o
                            θ  * * 
                            * θ *  
          *              *     *
            *         *       *
              *    * θ       *
                o  *  *  *  o
                S           R

    Since RS = QR,\;\Delta QRS is isosceles.
    . . Hence: . \angle SQR \:=\:\angle QSR \:=\:\theta

    Since QP \parallel RS,\;\angle PQS \:=\:\angle QSR \:=\:\theta


    Since P can be anywhere to the upper-left on that line,
    . . we cannot determine \angle PSQ

    Nor can we find the lengths of PQ and PS, or the area of PQRS.

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