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The bases of a trapezoid are 10 and 12 and the nonparallel sides are 2 and 3. How far must each of the nonparallel sides be extended to form a triangle?

  • Geometry - ,

    extend each of the 3 and 3 sides until they meet.
    I see similar triangles.
    Let the 3 unit side be extended by x units
    then x/10 = (x+3)/12
    12x = 10x + 30
    2x = 30
    x = 15

    Do the same thing for the other side by letting that extension be y units
    ( I got y = 10)

  • Geometry check? - ,

    But where do the extended sides meet each other?

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