Given: Triangle QRS is similar to triangle TUV.?

Given: Triangle QRS is similar to triangle TUV.

QR = 10, RS = 14, SQ = 16, TU = 6, find the perimeter of triangle TUV.

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  • 10 years ago
    Favorite Answer

    ince triangles QRS and TUV are similar triangles

    QR/TU = RS /UV = SQ / VT

    QR / TU = RS / UV

    => 10 / 6 = 14 / UV

    => UV = 8.4

    similarly

    VT = 16*6/10 =9.6

    therefore

    perimeter = TU + UV + VT = 6 + 8.4 + 9.6 = 24

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  • 10 years ago

    perimeter of triangle QRS is III to triangle TUV

    so

    perimeter of QRS/perimeter of TVU = QR/TU --------(1)

    perimeter of QRS =10+14+16=40

    let perimeter of TVU be X

    from (1)

    40/X =10/6

    X=24

    perimeter of TUV = 24

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  • Erika
    Lv 4
    3 years ago

    If it says 'mathematically comparable' this suggests they are in ration with one yet another, as an occasion each and every 1cm on QRS is 4cm on TUV whiochever area is the comparable area as TU on QRS, artwork out what you divide it via to get 6. Then divide the different numbers via thi answer, and upload them to get the fringe. its uncomplicated once you realize how!

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  • 10 years ago

    QR/TU=10/6

    P=premeter of QRS=10+14+16=40

    P'=perimeter of TUV

    P/P'=10/6=40/P'

    10P'=240

    P'=24

    God bless you.

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  • 10 years ago

    Perhaps this will help

    http://answers.yahoo.com/question/index;_ylt=AjPve...

    Sometimes it's best to check if a question that you want to ask has already been asked and answered.

    Just search for answers in y/a.

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