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How do you find a missing length in a triangle? I have two triangles. The lengths given are 18:27:x and the other one is 14:21:28.

  • Math - ,

    I don't understand the question. You have only one missing length for two triangles?

    I do note that the ratio of sides in the two cases is


    Just considering triangle 1, x could be anything less than 45 (bonus question: why?).

    Maybe you want x so that the two triangles will be the same shape - same angles. If so, I think I've given you a big clue by writing the ratios of sides.

  • Math - ,

    Perfect. I figured out what x was but I couldn't figure out how to show the calculations! The answer is 36, I think? Do you get the same thing?

  • Math - ,

    Yes, absolutely!

    Try this:

    18 : 27 : x = 2*9 : 3*9 : x

    14 : 21 : 28 = 2*7 : 3*7 : 4*7

    Clearer now?

  • Math - ,

    Yes, perfectly. Thank you. Sorry I wasn't clearer on my question asking

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