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Math Help - [SOLVED] Triangle ratios?

  1. #1
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    Unhappy [SOLVED] Triangle ratios?

    does anyone know how to solve for a side of a scalene triangle when given two similar triangles? I have in front of me two scalene triangles. one is bigger than the other. the smaller one has the sides 4, 8, and 10. the bigger triangle has the sides x, 15, and 12. i believe this to be simple stuff, but i have mono and havent been in school for four weeks and cannot for the life of me remember how to do this.
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  2. #2
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    Quote Originally Posted by sixstring3r View Post
    does anyone know how to solve for a side of a scalene triangle when given two similar triangles? I have in front of me two scalene triangles. one is bigger than the other. the smaller one has the sides 4, 8, and 10. the bigger triangle has the sides x, 15, and 12. i believe this to be simple stuff, but i have mono and havent been in school for four weeks and cannot for the life of me remember how to do this.
    it depends on which sides to which. But the key result is that the lengths of the sides will be in proportion.

    For example if the side that was length 10 in the first triange is length 15 in the second triangle then the proportion is 15/10 = 3/2. Theerefore the side that was length 8 i the first will be 8 * 3/2 = 12 units in the second triangle and the other side will be 4 * 3/2 = 6 units.

    Note that if I have missed my guess and picked two sides which were nolt corresponding ni the similar triangle than the proportion will differ. But given this leads to integer units I suspect this I have guessed right.

    Hope this helps.
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  3. #3
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    thanks

    i kinda reverse-engineered it, and figured it out before you replied, but i appreciate the help.

    and yes, you were correct in your guessing. thanks again
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