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Math Help - Ratio of the areas of two similar triangles

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    Ratio of the areas of two similar triangles

    The ratio of the areas of two similar triangles is 16:9. What is the ratio of the lengths of corresponding sides? Please show your work here.
    Last edited by mr fantastic; January 30th 2010 at 07:30 PM. Reason: Changed post title
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    Quote Originally Posted by FHS93 View Post
    The ratio of the areas of two similar triangles is 16:9. What is the ratio of the lengths of corresponding sides? Please show your work here.
    Area of triangle 1 = 16
    Area of triangle 2 = 9

    Since area is the only one given I suppose that the triangle is an equilateral

    get the sides of T1

    16x4=64/square root of 3=36.95 then square the answer give you 6.08

    get the sides of T2

    9x4=36/square root of 3=20.78 then square the answer give you 4.56

    Now get the ration T1:T2

    6:5 ^^
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    Quote Originally Posted by FHS93 View Post
    The ratio of the areas of two similar triangles is 16:9. What is the ratio of the lengths of corresponding sides? Please show your work here.
    You're expected to know and apply that if L_1 = k L_2 then A_1 = k^2 A_2.
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