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geometry

posted by on .

Given trapezoid WXYZ, find the ratio of the areas of each pair of triangles:
WYX and XYZ
WXZ and WXY

  • geometry - ,

    I am saying xy and wz are parallel (does not matter but choosing that)
    defining:
    wz = a
    xy = b
    height common is h
    then

    Awyx = .5 h b
    Axyz = .5 h a
    ratio = b/a

    Awxz = .5 h a
    Awxy = .5 h b
    ratio = a/b

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