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Math Help - Pythagoras Problem

  1. #1
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    Pythagoras Problem

    Hi all........new to the forum and straight in with a problem.

    I have a problem that i assumed could be solved by Pythagoras theorem.

    I know the length of the hypotenuse (22") and the ratio of lengths for the catheti (16:10)

    Please can anyone let me know if this is possible?




    thanks in advance

    Graham
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  2. #2
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    Quote Originally Posted by GrahamV View Post
    Hi all........new to the forum and straight in with a problem.

    I have a problem that i assumed could be solved by Pythagoras theorem.

    I know the length of the hypotenuse (22") and the ratio of lengths for the catheti (16:10)

    Please can anyone let me know if this is possible?


    thanks in advance

    Graham
    Yes, it is possible! If the two sides are in ratio \frac{16}{10} then, taking y to be the longer of the two sides, \frac{x}{y}= \frac{10}{16} so that x= \frac{10}{16}y= \frac{5}{8} y.

    Putting that into the Pythagorean formula, x^2+ y^2= \left(\frac{5}{8}y\right)^2+ y^2= 22^2. That gives you a simple equation to solve for y and then use x= \frac{5}{8}y to find x.
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  3. #3
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    That's brilliant.......Thanks for the quick response
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