The points A(2,1), B(3,6), C(5,-2) and D (1,-2) are the vertices of a parallelogram.fine |AC| and |BD|.are they equal in length?

Question

The points A(2,1), B(3,6), C(5,-2) and D (1,-2) are the vertices of a parallelogram.fine |AC| and |BD|.are they equal in length?

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Remi 3 weeks 2021-09-09T02:07:06+00:00 1 Answer 0

Answers ( )

  1. Ava
    0
    2021-09-09T02:08:27+00:00

    Answer:

    |AC| =√18   and  |BD| =√68.   They are not equal in length.

    Step-by-step explanation:

    To find |AC| and |BD|  of the parallelogram, we will simply use the distance formula.

    Using the line distance formula;

    D = √(y_{2}y_{1})² + (x_{2}x_{1}

    A(2,1)     C(5,-2)

    x_{1} =2    y_{1}=1   x_{2} = 5   y_{2} =-2

    |AC|  = √(y_{2}y_{1})² + (x_{2}x_{1}

              =√(-2-1)² + (5-2)²

               =√(-3)² + (3)²

               =√9+9

                =√18

    Distance  |AC| =√18

    B(3,6)     D (1,-2)

    x_{1} =3    y_{1}=6   x_{2} = 1   y_{2} =-2

    |BD|  = √(y_{2}y_{1})² + (x_{2}x_{1}

              =√(-2-6)² + (1-3)²

               =√(-8)² + (-2)²

               =√64+4

                =√68

    Distance  |BD| =√68

    |AC|   and   |BD|   are not equal in length

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45:7+7-4:2-5:5*4+35:2 =? ( )