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Posted by on Thursday, January 6, 2011 at 11:24pm.

Find the area of the rhombus: In rhombus ABCD, AB=11 and AC=13. Find the area of the rhombus.

What should be done to find the values of the diagonals?

  • Geometry - , Saturday, January 8, 2011 at 10:04pm

    A = D1*D2/2 = 13 * 13 / 2 =84.5

    All of the sides of a rhombus are equal. So the longest side is the diagonal.

  • Geometry - , Saturday, January 8, 2011 at 11:08pm

    CORRECTION!

    The 2 diagonals are NOT equal. But they
    are perpendicular bisectors of each other. They intersect at E.

    (AE)^2 + (BE)^2 = (11)^2,
    (6.5)^2 + (BE)^2 = 121,
    42.25 + (BE)^2 = 121,
    (BE)^2 = 121 - 42.25 = 78.75,
    BE = sqrt(78.75) = 8.9.

    BD = 2 * BE = 2 * 8.9 = 17.8.

    A = D1 * D2 / 2 = 13 * 8.9 / 2 = 57.85

  • Geometry - , Sunday, January 9, 2011 at 6:19am

    OOPS!

    A = D1 * D2 / 2 = 13 * 17.8 /2 = 115.7

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