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1 November, 22:18

In a rhombus, the sides are 14 inches long. Two intersecting sides form a 60° angle. What are the exact lengths of the two doagonals?

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  1. 2 November, 01:12
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    Long Diagonal = Square Root [ 2•Side² + 2•Side² • cos (A) ]

    Long Diagonal = Square Root [2*14^2 + 2*14^2 * cos (60) ]

    Long Diagonal = Square Root [ 392 + 392*.5]

    Long Diagonal = Square Root [ 588 ]

    Long Diagonal = 24.248711306

    Short Diagonal = Square Root [ 2•Side² - 2•Side² • cos (A) ]

    Short Diagonal = Square Root [ 392 - 392*.5]

    Short Diagonal = Square Root [ 196 ]

    Short Diagonal = 14
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