solid mensuration

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The base of a right prism is a rhombus whose sides are 20cm and the shorter diagonal is 24in..find the area pls.

  • solid mensuration -

    The diagonals of a rhombus bisect each other at right angles.
    You should see 4 identical right-angled triangles
    let the missing side in each of those triangles be x

    x^2 + 12^2 = 20^2
    x = 16
    So the longer diagonal is 32

    Area of rhomus = (1/2)(product of diagonals)
    = ...

  • solid mensuration -

    where did u get the 12?because the sides are centimeter and the other diagonal is inches?

  • solid mensuration -

    Didn't notice that.
    Weird that they would mix units like that.
    Anyway,
    1 inch = 2.54 cm

    As I said, the diameters right-bisect each other, so what is 1/2 of 24 ?
    So change the 12 inches to cm
    = 12(2.54) cm
    = 30.48 cm
    Now everything is in the same units.

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