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    30 60 90 Triangle Formula

    Result

    y>=0 and sqrt(3) a>=2 (sqrt(3) x + y) and x>=0

    Definition

    Lamina properties

    (0, 0) | (a/2, 0) | (0, (sqrt(3) a)/2)

    3

    a>0

    (data not available)

    (sqrt(3) a)/2

    A = (sqrt(3) a^2)/8

    x^_ = (a/6, a/(2 sqrt(3)))

    Mechanical properties

    J_x invisible comma x = (sqrt(3) a^4)/64

    J_y invisible comma y = a^4/(64 sqrt(3))

    J_zz = a^4/(16 sqrt(3))

    J_x invisible comma y = -a^4/128

    r_x = a/(2 sqrt(2))
r_y = a/(2 sqrt(6))

    Distance properties

    a/2 | a | (sqrt(3) a)/2

    a

    p = 1/2 (3 + sqrt(3)) a

    r = 1/4 (sqrt(3) - 1) a

    R = a/2

    a

    χ = 1

    s^_ = (a (204 + 36 sqrt(3) + 81 log(3) + 2 (9 + 8 sqrt(3)) log(2 + sqrt(3))))/1440

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