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A nice little puzzle in number cruching and trigonometry?

If I tell you that the smallest side of a right-angled triangle is 19cm, can you compute the value ( in whole numbers) for the other two sides ? I will tell you that all the sides are less than 200cm.

4 Answers

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  • zim_8
    Lv 4
    1 decade ago
    Favorite Answer

    we know that all odd numbers are the lowest of a Pythagorean triple x,y,z. x = the difference of two squares, m^2 - n^2, and y = 2mn. In this case since 100 - 81 = 19, the sides of the triangle are 19, 180, and 181.

  • 1 decade ago

    if you start at 200 and work your way down all you have to do is square the no. take away 19 squared (361) and then find the square root of that . keep going till you find a whole no. would give the answer but cant be bothered to sit here working it out.

  • Anonymous
    1 decade ago

    The second longest side is between 19 and 199.09545 cm.

    The longest side is between 26.870057 and 200 cm.

  • Anonymous
    1 decade ago

    199 cm and 27 cm

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