Geometry

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Right triangle ABC has an area of 32^3 cm^2. The measure of <A=30, and the measure of <B=90. What is the length of BC, AB, and AC? Express all answers in simplest radical form.

  • Geometry -

    the ratio of sides for the 30-60-90 triangle are
    1 : √3 : 2

    so let AB = √3 x
    BC = x
    AC = 2x

    area = (1/2)(√3 x)(x) = 32^3 = 32768
    x^2 = 65536/√3
    x = 256/√(√3)

    I will let you do the substitutions

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