Geometry

A square has diagonal length 13 m. What is the side length of the square to the nearest centimeter?

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  1. Pitagorin teorem :

    diagonal = sqrt ( a ^ 2 + a ^ 2 )

    diagonal = sqrt ( 2 * a ^ 2 )

    diagonal = a * sqrt ( 2 )

    13 = a * sqrt ( 2 ) Divide both sides by aqrt ( 2 )

    13 / sqrt ( 2 ) = a

    13 / 1.41421 = a

    9.19241131 = a

    a = 9.19241131 m

    1 m = 100 cm

    a = 9.19241131 m = 919.241131 cm

    a = 919 cm to the nearest centimeter?

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