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13 November, 07:15

Find the length of the rectangle whose vertices are given.

A (2, 1), B (5, 4), C (0, 3), D (3, 6)

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  1. 13 November, 10:00
    0
    Distance between A and B

    = Distance between C and D

    = sqrt ((4 - 1) ^2 + (5 - 2) ^2)

    = sqrt (3^2 + 3^2)

    = sqrt (2 * 3^2)

    = sqrt (3^2) * sqrt (2)

    = 3sqrt (2)

    Distance between B and C

    = Distance between A and D

    = sqrt ((4 - 3) ^2 + (5 - 0) ^2)

    = sqrt (1^2 + 5^2)

    = sqrt (26)

    Since sqrt (26) is more than 3sqrt (2), the length must be sqrt (26).
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