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Math Help - Similar Triangles

  1. #1
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    Smile Similar Triangles

    A triangle has sides whose lengths are 5, 12, and 13. A similar triangle could have sides with lengths of
    (1) 3, 4, and 5 (3) 7, 24, and 25
    (2) 6, 8, and 10 (4) 10, 24, and 26


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  2. #2
    o_O
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    A similar triangle would have sides that are in proportion to your original one, that is, the ratio of each of the 3 sides and each of the original 3 sides should all be equal. For example, a triangle with sides 3, 4, 5 and a triangle with sides 6, 8, 10 are similar triangles since: \frac{6}{3} = \frac{8}{4} = \frac{10}{5}.

    Which of your triangles fit the description?
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  3. #3
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    Then...

    Quote Originally Posted by o_O View Post
    A similar triangle would have sides that are in proportion to your original one, that is, the ratio of each of the 3 sides and each of the original 3 sides should all be equal. For example, a triangle with sides 3, 4, 5 and a triangle with sides 6, 8, 10 are similar triangles since: \frac{6}{3} = \frac{8}{4} = \frac{10}{5}.

    Which of your triangles fit the description?
    Then, based on what you said, the answer is choice 4.

    5/10 = 12/24 = 13/26....This leads to 1/2 = 1/2 = 1/2...all equal ratios.

    Is the correct idea?
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  4. #4
    o_O
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    Yes, that is the essence of proportionality.
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  5. #5
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    got it.............

    Quote Originally Posted by o_O View Post
    Yes, that is the essence of proportionality.
    I got it now.

    Thanks
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