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Posted by on Tuesday, January 11, 2011 at 9:21pm.

the diagonals of a rectangle are 12 inches long and intersect at an angle of 60 degrees. find the perimeter of the rectangle. please help :)

  • geometry - , Tuesday, January 11, 2011 at 10:01pm

    The angle bet. the diag. and the long
    side = 30 deg.
    The diagonal forms two 30-60-90 triangles

    L = sin 60 = op/hy = a/12
    L = .87 = a/12
    L = a = 10.44

    W = sin 30 = b/hy = b/12
    W = .50 = b/12
    W = b = 6


    P = 2*10.4 + 2*6 = 32.8in.

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