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26 March, 10:41

The length of one leg of a right triangle is 9 meters. the lengths of the other two sides are consecutive integer numbers of meters. what is the number of meters in the perimeter of the triangle?

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  1. 26 March, 10:47
    0
    The other sides are 40 and 41, because they are consecutive numbers that add up to 9 squares, the perimeter is 90 as a result
  2. 26 March, 12:39
    0
    Suppose the other leg is x, the hypotenuse is then x+1

    using the Pythagorean theorem, 9²+x² = (x+1) ²

    81+x²=x²+2x+1

    2x=80

    x=40

    the hypotenuse is 41+1=41

    peremeter: 41+40+9=90
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